Question

URGENT HELP PLZ MATH!

Find the measure of angle B.

Question 5 options:

30°

60°

90°

120°

Answer 1

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➷ Angles in a triangle total to 108 degrees

180 - (45 + 15) = 120

Angle B is 120 degrees.

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Answer 2

The correct option is D.

Explanation:

From the given figure it is clear that the measure of angle A is 45° and the measure of angle C is 15°.

According to the angle sum property of triangles, the sum of interior angles of a triangle is 180°. It means in triangle ABC,

`\angle A+\angle B+\angle C=180^(\circ)`

`45^(\circ)+\angle B+15^(\circ)=180^(\circ)`

`\angle B+60^(\circ)=180^(\circ)`

`\angle B=180^(\circ)-60^(\circ)`

`\angle B=120^(\circ)`

The measure of angle B is 120°. Therefore the correct option is D.