Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 19, 2024

Find the value of $x$ given the equation $x + 98^\circ + 48^\circ = 180^\circ$ .

STEP 1

Assumptions
1. The equation represents the sum of angles in a triangle.
2. The total sum of angles in a triangle is $180^\circ$ .
3. We need to solve for $x$ .

STEP 2

Write down the given equation.
$x + 98^\circ + 48^\circ = 180^\circ$

STEP 3

Combine the known angles to simplify the equation.
$x + 146^\circ = 180^\circ$

STEP 4

Subtract $146^\circ$ from both sides of the equation to solve for $x$ .
$x = 180^\circ - 146^\circ$

STEP 5

Calculate the value of $x$ .
$x = 34^\circ$
The value of $x$ is $34^\circ$ .

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