Math / Geometry

Question $\begin{array}{l} x= \\ y= \end{array}$ $\square$ [1 [1

Studdy Solution

STEP 1

What is this asking? Find the values of angles $x$ and $y$ formed by a line crossing two parallel lines, given other angles are $70^\circ$ and $68^\circ$ . Watch out! Don't mix up alternate interior angles with corresponding or vertical angles!

STEP 2

1. Find $x$ .
2. Find $y$ .

STEP 3

Alright, let's start with $x$ !
Notice that $x$ is an alternate interior angle with the $68^\circ$ angle.

STEP 4

Remember, alternate interior angles are equal when formed by a line crossing parallel lines.
That's a key fact here!

STEP 5

So, we can confidently say: $x = 68^\circ$ Boom! We've got $x$ !

STEP 6

Now, let's tackle $y$ !
Similar to $x$ , $y$ is an alternate interior angle with the $70^\circ$ angle.

STEP 7

And just like before, we know alternate interior angles are congruent when a line crosses parallel lines.

STEP 8

Therefore, we can conclude: $y = 70^\circ$ Yes! We've nailed $y$ too!

STEP 9

We found $x = 68^\circ$ and $y = 70^\circ$ .
Awesome!

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Question $\begin{array}{l} x= \\ y= \end{array}$ $\square$ [1 [1

Studdy Solution

STEP 1

What is this asking? Find the values of angles $x$ and $y$ formed by a line crossing two parallel lines, given other angles are $70^\circ$ and $68^\circ$ . Watch out! Don't mix up alternate interior angles with corresponding or vertical angles!

STEP 2

1. Find $x$ .
2. Find $y$ .

STEP 3

Alright, let's start with $x$ !
Notice that $x$ is an alternate interior angle with the $68^\circ$ angle.

STEP 4

Remember, alternate interior angles are equal when formed by a line crossing parallel lines.
That's a key fact here!

STEP 5

So, we can confidently say: $x = 68^\circ$ Boom! We've got $x$ !

STEP 6

Now, let's tackle $y$ !
Similar to $x$ , $y$ is an alternate interior angle with the $70^\circ$ angle.

STEP 7

And just like before, we know alternate interior angles are congruent when a line crosses parallel lines.

STEP 8

Therefore, we can conclude: $y = 70^\circ$ Yes! We've nailed $y$ too!

STEP 9

We found $x = 68^\circ$ and $y = 70^\circ$ .
Awesome!

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Questionx=y=\begin{array}{l} x= \\ y= \end{array}x=y=​ □\square□ [1 [1

Studdy Solution

STEP 1

What is this asking? Find the values of angles xxx and yyy formed by a line crossing two parallel lines, given other angles are 70∘70^\circ70∘ and 68∘68^\circ68∘. Watch out! Don't mix up alternate interior angles with corresponding or vertical angles!

STEP 2

1. Find xxx.2. Find yyy.

STEP 3

Alright, let's **start** with xxx!Notice that xxx is an *alternate interior angle* with the 68∘68^\circ68∘ angle.

STEP 4

Remember, alternate interior angles are *equal* when formed by a line crossing parallel lines.That's a *key* fact here!

STEP 5

So, we can **confidently say**: x=68∘x = 68^\circx=68∘ Boom! We've got xxx!

STEP 6

Now, let's **tackle** yyy!Similar to xxx, yyy is an *alternate interior angle* with the 70∘70^\circ70∘ angle.

STEP 7

And just like before, we know alternate interior angles are *congruent* when a line crosses parallel lines.

STEP 8

Therefore, we can **conclude**: y=70∘y = 70^\circy=70∘ Yes! We've nailed yyy too!

STEP 9

We found x=68∘x = 68^\circx=68∘ and y=70∘y = 70^\circy=70∘.Awesome!

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Question $\begin{array}{l} x= \\ y= \end{array}$ $\square$ [1 [1

What is this asking? Find the values of angles $x$ and $y$ formed by a line crossing two parallel lines, given other angles are $70^\circ$ and $68^\circ$ . Watch out! Don't mix up alternate interior angles with corresponding or vertical angles!

1. Find $x$ .
2. Find $y$ .

Alright, let's start with $x$ !
Notice that $x$ is an alternate interior angle with the $68^\circ$ angle.

Remember, alternate interior angles are equal when formed by a line crossing parallel lines.
That's a key fact here!

So, we can confidently say: $x = 68^\circ$ Boom! We've got $x$ !

Now, let's tackle $y$ !
Similar to $x$ , $y$ is an alternate interior angle with the $70^\circ$ angle.

And just like before, we know alternate interior angles are congruent when a line crosses parallel lines.

Therefore, we can conclude: $y = 70^\circ$ Yes! We've nailed $y$ too!

We found $x = 68^\circ$ and $y = 70^\circ$ .
Awesome!