Question

HELP! What is angle 5? (PICTURE INCLUDED)

Answer 1

Answer:

Angle 5 = 122

Step-by-step explanation:

Assume EB and AD intersect each other at point C

As this is the circle, four points A,B,D,E are all on the circle, so that we have:

+) m∠EBD = 1/2 measure of arc ED (small arc)

=> m∠EBD = 1/2 . 66 = 33 degree

=> m∠CBD = 33

+) m∠ADB = 1/2 measure of arc AB (small arc)

=>m∠ADB = 1/2 . 50 = 25 degree

=>m∠CDB = 25 degree

In the triangle CDB, we have total measure of three internal angles is 180 degree

=> Angle 5 + m∠CDB + m∠CBD = 180

=> Angle 5 + 25 + 33 = 180

=> Angle 5 = 180 -25 - 33 = 122 degree