Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+24)^{\circ}∠A=(7x+24) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A.

Answer 1

Answer:

115degrees

Step-by-step explanation:

Given the following angles

m<A=(7x+24)°

m<B=(7x-26)°

Since both angles are supplementary, their sum will be 180 degrees

Taking the sum of the angles

m<A + m<B = 180

7x+24 + 7x - 26 = 180

14x - 2 = 180

14x = 180+2

14x = 182

x = 182/14

x = 13

get m<A

m<A = 7x+24

m<A = 7(13) + 24

m<A = 91 + 24

m<A  = 115

Hence the measure of angle m<A is 115degrees