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4 votes
Given: Tangents
LA
and
LB

m∠AOB=110°
Find: m∠ALO.

Given: Tangents LA and LB m∠AOB=110° Find: m∠ALO.-example-1
User SamehDos
by
9.2k points

1 Answer

6 votes

Answer:

m<ALO=35°

Explanation:

we know that

The right triangle AOL is congruent with the right triangle BOL

because

OA=OB=radius of the circle

OL is a common side

LA=LB ---> by applying the Pythagoras theorem

therefore

m<AOL=m<AOB/2

m<AOL=110°/2

m<AOL=55°

Remember that

m<AOL+m<ALO=90° ------> by complementary angles

m<ALO=90°-55°=35°

User Illusionx
by
8.3k points

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