How to find an angle in an acute / obtuse isosceles triangle

Practice Questions

ACT Math › How to find an angle in an acute / obtuse isosceles triangle

Questions
9
1

The base angle of an isosceles triangle is thirteen more than three times the vertex angle. What is the difference between the vertex angle and the base angle?

2

Triangle FGH has equal lengths for FG and GH; what is the measure of ∠F, if ∠G measures 40 degrees?

3

In triangle ABC, Angle A = x degrees, Angle B = 2x degrees, and Angle C = 3x+30 degrees. How many degrees is Angle B?

4

An isosceles triangle has a base angle that is six more than three times the vertex angle. What is the base angle?

5

A particular acute isosceles triangle has an internal angle measuring . Which of the following must be the other two angles?

6

Points A and B lie on a circle centered at Z, where central angle <AZB measures 140°. What is the measure of angle <ZAB?

7

In an isosceles triangle the base angle is five less than twice the vertex angle. What is the sum of the vertex angle and the base angle?

8

The vertex angle of an isosceles triangle is . What is the base angle?

9

Sides and in this triangle are equal. What is the measure of ?

Triangle_1

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