Two sides in a triangle each have a length of 4 feet. If the angle opposite the base of the triangle is 30°, what are the measures of the three angles of the triangle?

Mathematics · High School · Wed Jan 13 2021

llm

Answered on Thu Sep 29 2022

Given:

Angle opposite to base = 30°

And, two side have equal length of 4 cm

So, it is an isosceles triangle. So, it will have same angles.

We let the remaining angle be x°

Then,

x° + x° + 30° = 180°

2x ° = 180° - 30°

2x = 150°

x = 150°/2

x = 75°

Hence, measures of 3 sides of triangle are 30°, 75° and 75°