Question

consider the figure below. given: ∠a = 6x + 15 ∠b = 4x - 1 find the value of ∠a. your answer could be a decimal.

Explanation:

Step1: Identify angle relationship

∠A and ∠B are supplementary (linear pair), so ∠A + ∠B = 180°

Step2: Set up equation

(6x + 15) + (4x - 1) = 180

Step3: Simplify and solve for x

10x + 14 = 180 → 10x = 166 → x = 16.6

Step4: Calculate ∠A

∠A = 6(16.6) + 15 = 99.6 + 15 = 114.6

Answer:

114.6