Try the fastest way to create flashcards
Question

The measure of an angle is 52 more than the measure of its complement. What is the measure of the angle?

Solution

Verified
Step 1
1 of 2

Let xx be the angle so that its complement is 90x90-x, both in degrees.

The measure of the angle is 52 more than the measure of its complement so we can write:

x=(90x)+52x=(90-x)+52

Solving for xx,

x=142xx=142-x

2x=1422x=142

x=71x=71

So, the measure of the angle is 71°.\color{#c34632}71\text{\textdegree}.

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Geometry 1st Edition by Carter, Cuevas, Cummins, Day, Malloy

Geometry

1st EditionISBN: 9780076639298 (1 more)Carter, Cuevas, Cummins, Day, Malloy
4,575 solutions
Geometry Common Core 1st Edition by Basia Hall, Charles, Johnson, Kennedy, Dan, Laurie E. Bass, Murphy, Wiggins

Geometry Common Core

1st EditionISBN: 9780133185829 (2 more)Basia Hall, Charles, Johnson, Kennedy, Dan, Laurie E. Bass, Murphy, Wiggins
5,531 solutions
enVision Geometry 1st Edition by Al Cuoco

enVision Geometry

1st EditionISBN: 9780328931583 (3 more)Al Cuoco
2,702 solutions
Big Ideas Math Geometry: A Common Core Curriculum 1st Edition by Boswell, Larson

Big Ideas Math Geometry: A Common Core Curriculum

1st EditionISBN: 9781608408399 (1 more)Boswell, Larson
4,072 solutions

More related questions