Question

What is the value of x?

here is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

x =

Answer 1

x = 17°

Explanation:

A triangle has total 180° interior angle.

When all angle sum up, they equal to 180°

There are two methods for solving this question:

→ x + 17 + 6x + 10 + 4x - 34 = 180°

→ 11x -7 = 180°

→ 11x = 180° + 7°

→ 11x = 187°

→ x = (187/11)°

→ x = 17°

Or

As the triangle is isosceles, the angles are similar:

x + 17° = 4x - 34°

4x - x = 17° + 34°

3x = 51°

x = 17°

[ Hence x is 17° confirmed ]

Answer 2

x = 17

Explanation:

Hi there!

Because this is an isosceles triangle, we know that the angles measuring (x+17°) and (4x+34°) are congruent. Knowing this, we can set up the following equation and solve for x:

x+17 = 4x-34

17 = 3x-34

0 = 3x-51

3x = 51

x = 17

Therefore, the value of x is 17.

I hope this helps!