Question

Pls pls help
Any help will be most appreciated, pls show ur work thx

Answer 1

x = 49.5°

Explanation:

Let A = m<A.

Let B = m<B.

Let C = m<C.

Let y = measure of congruent angles of triangle BFD.

y = m<BDF; y = m<BFD

Let z = measure of congruent angles of triangle CDE.

z = m<CDE; z = m<CED

A + B + C = 180

A = 81

B + C = 180 - A = 180 - 81

B + C = 99

B + 2y = 180

(+) C + 2z = 180

-------------------------------

B + C + 2y + 2z = 360

Recall: B + C = 99

99 + 2y + 2z = 360

2y + 2z = 360 - 99

2y + 2z = 261

y + z = 130.5

m<BDF + m<CDE + x = 180

y + z + x = 180

130.5 + x = 180

x = 180 - 130.5

x = 49.5