MATH SOLVE

2 months ago

Q:
# PLS, HELP WILL GIVE BRAINLIEST, THANKS, AND 5 STAR RATING TO ANSWER SHOWING ALL WORK.

Accepted Solution

A:

Answer:(a) ∠DAB = 59°(b) ∠A = 135°(c) ∠A = 99°Step-by-step explanation:Theorem: If a quadrilateral is inscribed inside a circle, then the opposite angles of the quadrilateral are SUPPLEMENTARY.So, here in the given figures:(1) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)⇒∠DAB = 180° - 121° = 59°or, ∠DAB = 59°(2) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)⇒(3x+6) + (x+2) = 180° or, 4x = 180 - 8 = 172⇒ x = 172/4 = 43, or x = 43So, ∠A = (3x+6) = 3(43) + 6 = 135°(3) (28) + (x) = 180°or, x = 180 - 28 = 152So, ∠A = (x- 36) = 135 - 36 = 99°(4)