Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. a coat hanger is in the shape of isosceles triangle abc shown in the figure. sides ab and bc are congruent. if m< bac=22, then m< abc= ?

m∠ABC=136°

Step-by-step explanation:

In the given figure we have a coat hanger is in the shape of isosceles triangle ABC.

Sides AB and BC are congruent.

The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore, in ΔABC, we have

m∠BAC=m∠BCA

If m∠BAC=22°, then m∠BCA= 22°

By angle sum property , we have

m∠BAC+m∠BCA+m∠ABC=180°

⇒22°+22°+m∠ABC=180°

⇒m∠ABC+44°=180°

⇒m∠ABC=180°-44°=136°

⇒m∠ABC=136°

Therefore, If m∠BAC=22°, then m∠ABC=136°

answer: it is 1: 47 pm