Chapter 1.5, Problem 4CYU

To determine

To calculate the angles

Answer to Problem 4CYU

The complementary angles are 82.1° and 7.9°

Explanation of Solution

Given information:

Angle 1 is,

  $7x+17$

Angle 2 is,

  $3x-20$

Formula used:

Complementary angle definition.

Since, angle 1 and angle 2 are complementary, there sum will be 90.

Therefore,

  $7x+17+3x-20=90$

On solving,

  $10x-3=90$

Shifting the terms,

  $10x=90+3$

So,

  $10x=93$

On solving,

  $x=9.3$

For angle 1, substituting the value,

  $7(9.3)+17$

On solving,

  $82.1$

For angle 2, substituting the value,

  $3(9.3)-20$

On solving,

  $7.9$

Hence, the complementary angles are 82.1° and 7.9°