In right triangle ABC, ∠A = 90° and ∠C is 18° less than twice the measure of ∠B. What is the measure of ∠B?

A) 18

B) 36

C) 54

D) 72

Question

Mathematics

Manuel Fletcher

14 January, 09:12

In right triangle ABC, ∠A = 90° and ∠C is 18° less than twice the measure of ∠B. What is the measure of ∠B?

A) 18

B) 36

C) 54

D) 72

+4

Answers (1)

Know the Answer?

Rishi Werner · Answer 1

B = 36

Step-by-step explanation:

C = 2B - 18 is the direct translation of the statement given in the question.

Since the sum of all angles of a triangle is 180.

A+B+C = 180

90 + B + (2B-18) = 180

solve for B

B = 36

In right triangle ABC, ∠A = 90° and ∠C is 18° less than twice the measure of ∠B. What is the measure of ∠B?A) 18B) 36C) 54D) 72

In right triangle ABC, ∠A = 90° and ∠C is 18° less than twice the measure of ∠B. What is the measure of ∠B?

A) 18

B) 36

C) 54

D) 72