58.7k views
1 vote
What is mLH?
A
140
B
40
220
D
70

What is mLH? A 140 B 40 220 D 70-example-1
User EvilEddie
by
5.8k points

2 Answers

4 votes

Answer:70

Explanation:

User Notzach
by
6.0k points
8 votes

Answer:

A 140

Explanation:

Mark the center of the circle as O. It's given that

∠IOJ = 70°

∠JOK = 70°

from the drawing it looks like HOI, IOJ and JOK are supplementary angles, which means that they add up to 180°

∠HOI + ∠IOJ + ∠JOK = 180°

∠HOI = 180° - ∠IOJ - ∠JOK

∠HOI = 180° - 70° - 70°

∠HOI = 40°

∠HOI and ∠KOL are cross angles, therefore ∠HOI = ∠KOL = 40°

Since ∠HOL and ∠KOL are supplementary angles

∠HOL = 180° - ∠KOL

∠HOL = 180° - 40°

∠HOL = 140°

User Jan Schmitz
by
5.1k points