Question

If m/AGD = 72°, then what is m/DGB?

177²
37. C
A
E
D
H
a
10
5
G/1
3/2
F
B
4

Please provide an explanation.

Answer 1

m∠DGB = 108°

Explanation:

Linear pair:

If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.

m∠AGD + m∠DGB = 180° {Linear pair}

72 + m∠DGB = 180

m∠DGB = 180 - 72

m∠DGB = 108°