luscious2981 luscious2981
  • 03-03-2021
  • Mathematics
contestada

The difference in the measures of two complementary angles is 42 . Find the measures of the angles.

Respuesta :

Muscardinus Muscardinus
  • 04-03-2021

Answer:

The angles are 24° and 66°.

Step-by-step explanation:

Let two angles be x and y.

For two complementary angles,

x+y = 90 ...(1)

ATQ,

x-y = 42 ...(2)

We need to find the measures of the angles.

Add equation (1) and (2).

x+y+x-y = 90+42

2x = 132

x = 66

Put the value of x in equation (1)

66+y = 90

y = 90-66

y = 24

So, the angles are 24° and 66°.

Answer Link

Otras preguntas

We had lunch: sandwiches, potato chips, and iced tea. Carolyn and her mother talked mostly about neighbors and the congregation at the Japanese Methodist Church
Which of the following are solutions to the equation below? Check all that apply. 4x2 - 81 = 0 A. 9 B.-9/2 C.-2/9 D.-9 E.9/2 F.2/9
what is r in this equation? πr^2=42π
please help if you know, thanks!
The_____ form acidic compounds with hydrogen.
When did christianity become the official religion of the roman empire?
Find the missing length indicated
How many positive odd integers less than 300 can be formed using the digits 0, 1,2,3,4?
__________ is widely considered to be the founder of the professional american police department.
A circular swimming pool has a diameter of 12 feet. What is the circumference the pool? Use 3.14 to approximate for π . Enter your answer, as a decimal rou