Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the measure of angle a. 21) (x + 59) + 84 + (x + 51) = 180 22) 23)…

Question

find the measure of angle a.

  1. (x + 59) + 84 + (x + 51) = 180

22)
23)
24)

Explanation:

Step1: Sum of triangle angles is 180°

$(x + 59) + (x + 51) + 84 = 180$

Step2: Simplify the equation

$2x + 194 = 180$

Step3: Solve for x

$2x = -14 \Rightarrow x = -7$

Step4: Calculate angle A

$x + 59 = -7 + 59 = 52$

Answer:

52°