Question

1. the measures of the angles of a triangle are shown in the figure below. solve for x. 61° (4x + 2)° 45°

Explanation:

Step1: Sum of triangle angles is 180°

$61 + 45 + (4x + 2) = 180$

Step2: Simplify left side

$108 + 4x = 180$

Step3: Solve for 4x

$4x = 180 - 108 = 72$

Step4: Find x

$x = \frac{72}{4} = 18$

Answer:

18