Calculating an angle in a right triangle

Practice Questions

GMAT Quantitative Reasoning › Calculating an angle in a right triangle

Questions

8

1

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Triangle is a right triangle, with . What is the size of angle $\widehat{BCA}$ ?

2

Of the two acute angles of a right triangle, one measures fifteen degrees less than twice the other. What is the measure of the smaller of the two angles?

3

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is a right triangle, with sides $AB=3, AC=\sqrt{3}$ . What is the size of angle $\widehat{ACB}$ ?

4

The measures of the acute angles of a right triangle are $x^{\circ }$ and $y^{\circ }$ . Also,

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Evaluate .

5

For a certain right triangle, the angle between the base and the hypotenuse is 36 degrees. What is the measure of the only remaining unknown angle?

6

A right triangle $\bigtriangleup ABC$ with right angle $\angle B$ ; all of its interior angles have degree measures that are whole numbers. What is the measure of $\angle A$ ?

Statement 1: $m \angle A$ is a multiple of 2 and 7.

Statement 2: $m \angle A$ is a multiple of 3 and 4.

7

Given a right triangle $\bigtriangleup ABC$ with right angle $\angle B$ , what is the measure of $\angle A$ ?

Statement 1: $m \angle A - m \angle C = 10^{\circ }$

Statement 2: $4 \cdot m \angle A = 5 \cdot m \angle C$

8

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Right triangle has length $AC=\sqrt{3}$ and . How many degrees is angle ?

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