Question

The measures of the three angles of a triangle are 43°, 70°, and xº. What is the value of x?

Answer 1

67 degrees

Explanation:

It is given that,

The measures of the three angles of a triangle are 43°, 70°, and xº.

We need to find the value of x.

We know that, the sum of angles of a triangle is equal to 180 degrees. Applying this theorem, we get :

`43^(\circ)+70^(\circ)+x^(\circ)=180^(\circ)\\\\113^(\circ)+x^(\circ)=180^(\circ)\\\\x^(\circ)=180^(\circ)-113^(\circ)\\\\x^(\circ)=67^(\circ)`

Hence, the value of x is 67 degrees.