Try the fastest way to create flashcards
Question

# Determine the measure of each angle. Show your work and explain your reasoning. a. Two angles are congruent and supplementary. b. Two angles are congruent and complementary. c. The complement of an angle is twice the measure of the angle. d. The supplement of an angle is half the measure of the angle.

Solution

Verified
Step 1
1 of 5

### Part (a)

If two angles are congruent then they have equal measure. Moreover, if they are supplementary, sum of their measures is $180^\circ$.

$\begin{array}{l} x + x = 180^\circ \\ \\ 2x = 180^\circ \\ \\ x = \dfrac{{180^\circ }}{2}\\ \\ {\color{#001227}\boxed{\boxed{x = 90^\circ }}} \end{array}$

## Recommended textbook solutions

#### Cambridge IGCSE Mathematics Core and Extended

4th EditionISBN: 9781510421684Ric Pimentel
1,758 solutions

#### Carnegie Learning Integrated Math II

4th EditionISBN: 9781609726621Carnegie Learning Authoring Team
1,052 solutions

#### Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions

#### Big Ideas Math Integrated Mathematics III

1st EditionISBN: 9781680330878Boswell, Larson
3,800 solutions