102k views
1 vote
In triangle ABC, Angle A is 60 degrees. Angle B is 1/4th the measurement of Angle C. What is measure of angle c?

User Pepyakin
by
7.4k points

2 Answers

4 votes

15 degrees because its basically dividing 60 divided by 4 is 15

User IcyFlame
by
7.1k points
4 votes

Sum of angles in a triangle is 180°

.

Since we know that angle A = 60,

Therefore angle B + angle C = 180 - 60 = 120°

.

Define x:

Let angle c be x.

angle b = 1/4 x

.

Solve x:

x + 1/4 x = 120

5/4 x = 120

5x = 480

x = 96

.

Find angle c:

angle c = x = 96°

.

Answer: Angle C = 96°

User Tak
by
6.7k points