Math / Geometry

QuestionFind the value of $x$ . 9

Studdy Solution

STEP 1

1. The angles form a linear pair, summing to $180^\circ$ .
2. The given angles are $152^\circ$ and $x - 17^\circ$ .

STEP 2

1. Set up the equation based on the linear pair.
2. Solve for $x$ .

STEP 3

Since the angles are on a straight line, they add up to $180^\circ$ . Set up the equation:
$152^\circ + (x - 17^\circ) = 180^\circ$

STEP 4

Simplify the equation:
$152 + x - 17 = 180$
Combine like terms:
$x + 135 = 180$

STEP 5

Isolate $x$ by subtracting $135$ from both sides:
$x = 180 - 135$
$x = 45$
The value of $x$ is:
$\boxed{45}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms