Question

Pls help and show workings
Options
A. 14
B. 36
C. 54
D. 90

Answer 1

(C). 54°

Explanation:

m∠3 + m∠4 = 90°

m∠1 = m∠4 = 2x + 8

(4x - 2)° + (2x + 8)° = 90°

4x - 2 + 2x + 8 = 90

6x + 6 = 90

6x = 84

x = 14

m∠6 = m∠3 = 4(14) - 2 = 54°