Question

Can you solve this please?

Answer 1

x = 4°

∠PAR = 66°

Explanation:

Since ∠GAU and ∠KAR are vertical angles, they are equal

∠GAU = ∠KAR

⇒ 6x = 2x + 16

⇒ 4x = 16

⇒ x = 4

Given ∠KAP = 90

Also, ∠KAP = ∠PAR + ∠KAR

⇒ 90 = ∠PAR + 2x + 16

⇒ ∠PAR = 90 - 2x - 16

= 90 - 2(4) -16

= 90 -8 -16

⇒ ∠PAR = 66°