Question

12. If DH = HE, MBG = (9x – 20) and
MGC = (5x + 28), find mAB.

Answer 1

176degrees

Explanation:

Find the diagram attached. From the diagram;

arcGC = = arc BG

5x + 28 = 9x - 20

5x - 9x = -20 28

-4x = -48

x = -48/-4

x = 12

Get <AB

Since <AB = <BC

<BC = arcGC +arc BG

<AB = arcGC+ arc BG

<AB = 5x + 28 + 9x - 20

<AB = 14x + 8

<AB = 14(12) + 8

<AB = 168 + 8

<AB = 176degrees

Hence the arc AB is 176degrees