Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 55°.
Given that
Two angles of a triangle are equal and the third angle measures 70°.
Let the other two angles be A and B
We know that,
The sum of the angles of a triangle = 180º
Now,
⇒ A + B + 70º = 180º
⇒ A + B = 180º - 70º = 110º
⇒ A = B
⇒ 2A = 110º
⇒ A = B = 55º