Given: mAB = 94°, mDA = 118° , mBC = 136°. Find the following in degrees.

Question

Consider the following figure.

		mAB = 94°
	mDA = 118°
	mBC = 136°

Find the following in degrees.

(a)m∠1 (∠DAC)

 °

(b) m∠2 (∠ADB)

 °

(c) m∠3 (∠AFB)

 °

(d) m∠4 (∠DEC)

 °

(e) m∠5 (∠CEB)

Answer 1

arc DC = 360 - 94 - 118 - 136 = 12

m<1 = 1/2 arc DC = 6

m<2 = 1/2 arc AB = 47

m<3 = 1/2 (arc AB - arc DC) = 20.5

m<4 = 1/2 (arc DC + arc AB) = 26.5

m<5 = 1/2 (arc AD + arc CB) = 127