johnfrida111 johnfrida111
  • 17-03-2019
  • Mathematics
contestada

An angle measures 34.6° more than the measure of a complementary angle. What is the measure of each angle?

Respuesta :

Iriscultmember Iriscultmember
  • 17-03-2019

Complementary angles are two angles that add up to 90°

Therefore, let's call the unknown angle x

And the other angle is x+34.6

The expression can be written like this:

x+x+34.6=90

Subtract 34.6 from both sides.

x+x=55.4

Combine like terms

2x=55.4

Divide by 2 on both sides

55.4/2=27.7

So the unknown angle, x, is 27.7°

The other angle is 62.3° (27.7°+34.6°)

Answer Link

Otras preguntas

Based on the reading, how do you think the Hawaiian Island chain formed? Be sure to mention the initial formation of the island and the direction the Pacific Pl
49 prime factorization
What is the sign of a2b a=5 b=8
How do the principles of checks and balances judicial review and federalism relate to the principle of limited government ?
A tort is: Select one: a. A crime, generally a misdemeanor, committed on the internet. b. Generally defined as breach of a contract, whether or not on the inter
How does the multiplicity of a zero affect the graph of the polynomial function? Select answers from the drop-down menus to correctly complete the statements.
WCatholics migrated west to Utah in search of religious freedom
What keys aspect of running a business includes the ability to offer valuable goods and services while contributing to society
which of the following inequalities is false?
What is the greatest common factor of 2 16 and 12