How to find an angle in an acute / obtuse triangle

Practice Questions

ISEE Upper Level Mathematics Achievement › How to find an angle in an acute / obtuse triangle

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1

Triangle

Figure NOT drawn to scale.

Refer to the above figure. Evaluate $m \angle ACB$ .

2

The acute angles of a right triangle measure $\left ( 2x - 8 \right )^{\circ }$ and $\left ( 3x - 4 \right )^{\circ }$ .

Evaluate .

3

The angles of a triangle measure $x^{\circ }, x^{\circ },\left ( x -42 \right ) ^{\circ }$ . Evaluate .

4

Which of the following is true about a triangle with two angles that measure $120^{\circ }$ and $90^{\circ }$ ?

5

Triangle 3

In the above figure, $\overline{AC} \cong \overline{AD}$ .

Give the measure of $\angle CAD$ .

6

Which of the following is true about a triangle with two angles that measure $91^{\circ }$ each?

7

Solve for :
Question11

8

Chords

Note: Figure NOT drawn to scale

Refer to the above figure. $\overline{AB } \cong \overline{AC}$ ; $m \widehat{AC} = 140 ^{\circ }$ .

What is the measure of $\angle A$ ?

9

Triangle 2

Refer to the above figure. Express in terms of .

10

One angle of an isosceles triangle has measure $110^{\circ }$ . What are the measures of the other two angles?

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