Question

∠A and \angle B∠B are complementary angles. If m∠A=(3x-8)∘ and m∠B=(x+26)∘ then find the measure of ∠A

Answer 1

m∠B = 26°

Explanation:

∠A and ∠B being complementary means m∠A + m∠B = 90°

4x + 24 + 3x - 4 = 90

7x + 20 = 90

7x = 70

x = 10

m∠B = (3•10 - 4)° = 26°

Answer 2

m∠A = 46°

Explanation:

• ∠A and ∠B are complementary angles (Given)

• -> m∠A + m∠B = 90°

• -> (3x - 8)° + (x + 26)° = 90°

• -> (3x - 8 + x + 26)° = 90°

• -> (4x + 18)° = 90°

• -> 4x + 18 = 90

• -> 4x = 90 - 18

• -> 4x = 72

• -> x = 72/4

• -> x = 18

• (3x - 8)° = (3*18 - 8)° = (54 - 8)° = 46°

• -> m∠A = 46°