This shows a diagram. What is the value of x?

Question

asked Jan 25, 2023 166k views

2 Answers

Priyanka Rathee · Answer 1 · 2023-01-30T08:27:21+0000

Answer:

x° = 44.5°

Explanation:

x° and (3x + 2)° are supplementary angles, which means they add up to 180°.

Equation: x + 3x + 2 = 180

Step 1: Combine like terms.

$\implies 4x + 2 = 180$

Step 2: Subtract 2 from both sides.

$\implies 4x + 2 - 2 = 180 - 2$

$\implies 4x = 178$

Step 3: Divide both sides by 4.

$\implies (4x)/(4)=(178)/(4)$

$\implies x = 44.5$

Step 4: Substitute 44.5 as the value of x in (3x + 2) to find its measure.

$\implies 3(44.5)+2$

$\implies 135.5$

Therefore, the measure of x° is 44.5°, and the measure of (3x + 2)° is 135.5°. Together, they add up to 180°.