Question

Identify m∠BHJ.

Answer 1

Answer:

m∠BHJ = 75°

Step-by-step explanation:

It is given that mBJ=105∘

Find mBMJ

mBMJ=360∘−105∘=255∘

If two tangents intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,

m∠BHJ=12(mBMJ−mBJ)

Substitute the given values and simplify.

m∠BHJ=12(255∘−105∘)

=12(150∘)

=75∘

Therefore, m∠BHJ=75∘

Answer 2

Answer:

m∠BHJ = 75°

Step-by-step explanation:

It is given that mBJ=105∘

Find mBMJ

mBMJ=360∘−105∘=255∘

If two tangents intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs. So,

m∠BHJ=12(mBMJ−mBJ)

Substitute the given values and simplify.

m∠BHJ=12(255∘−105∘)

=12(150∘)

=75∘

Therefore, m∠BHJ=7