142k views
1 vote
Theres a right triangle. One angle is 90°. What are the degrees of the other two angles if one is 12 more than the other split in half?

User Anakin
by
5.2k points

2 Answers

3 votes

Answer:

72 is 12 more than the other split in half, aka 18

Explanation:

First, we need to know which angles are called Complementary Angles,

if we add all three angles and the total will be equal to 180 degrees.

Lets say one angle is x and the other is y as they are complementary angles from the definition we can write the equation, 12x+y+90=180

1. subtract 90 from 180

2. how many times can 12 go into 90

  • 12*7=84
  • 12*6=72
  • 12*5=60

if you...

chose to do 5, half of 5 would be 2.5

6*2.5=15

60+15

if you...

chose 6

72+18=9

User Sirmabus
by
5.6k points
6 votes

Answer:

  • 38° and 52°

Explanation:

Let the other angles be x and y.

We have:

  • x + y = 90
  • x = 1/2y + 12

Substitute x into first equation and solve for y:

  • 1/2y + 12 + y = 90
  • 1.5y = 78
  • y = 78/1.5
  • y = 52

Find x:

  • x = 90 - 52 = 38
User Sarayee
by
4.2k points