96.2k views
4 votes
ZGHK is a straight angle.Find mZLHK.79°HKmZLHK

1 Answer

1 vote

In order to find the angle ∠LHK you take into account that the angle ∠GHK = 180°. Furthermore you have that angle ∠GHL = 79°.

Then, ∠LHK + ∠GHL = 180°

You solve the previous relation for ∠LHK by replacing the value of ∠GHL, just as follow:

∠LHK + ∠GHL = 180°

∠LHK = 180 - ∠GHL = 180 - 79 = 101°

Hence, angle ∠LHK is equal to 101°

User KingPuppy
by
4.1k points