Chapter 4: Q. 104 (page 405)

The measure of one of the
small angles of a right triangle is
14 more than 3 times the measure
of the other small angle. Find the
measure of both angles.

Short Answer

Expert verified

The measure of angles are $19$ and $71$ .

Step by step solution

Step 1. Given information

A right-angled triangle such that $x$ and $y$ represents two smaller angle,s therefore,

$x + y + 90 = 180$

Step 2. Forming the equation

The measure of one of the

small angles of a right triangle is

14 more than 3 times the measure

of the other small angle.

therefore,

$x = 14 + 3 y$

Step 3. Solving for y

Put the values of $x = 14 + 3 y$ into

$x + y + 90 = 180 14 + 3 y + y + 90 = 180 14 + 4 y = 90 4 y = 76 y = \frac{76}{4} y = 19$

Step 4. Solving for x

Put the values of $y = 19$ into $x = 14 + 3 y x = 14 + 3 (19) = 71$

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The measure of one of the
small angles of a right triangle is
14 more than 3 times the measure
of the other small angle. Find the
measure of both angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Forming the equation

Step 3. Solving for y

Step 4. Solving for x

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The measure of one of thesmall angles of a right triangle is14 more than 3 times the measureof the other small angle. Find themeasure of both angles.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Forming the equation

Step 3. Solving for y

Step 4. Solving for x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Pure Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

The measure of one of the
small angles of a right triangle is
14 more than 3 times the measure
of the other small angle. Find the
measure of both angles.