In ΔIJK, m∠I = (4x+5)^{\circ}(4x+5) ∘ , m∠J = (4x+18)^{\circ}(4x+18) ∘ , and m∠K = (x+4)^{\circ}(x+4) ∘ . What is the value of x?

Answer 1

4x + 5 + 4x + 18 + x + 4 = 180

Can you solve for x and answer?

Answer 2

In triangle IJK

The measure of angle I = (4x+5) degrees

The measure of angle J = (4x+18) degrees and

The measure of angle K = (x+4) degrees

We know that all angle measures in a triangle must equal 180 so

m∠I + m∠J + m∠K = 180° when we plug in for the measures we get:

4x + 5 + 4x + 18 + x + 4 = 180 If we combine like terms:

9x + 27 = 180

9x = 153 Therefore,

x = 17