Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(63^{\circ}+36^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

\(63 + 36+x=180\), which simplifies to \(99+x = 180\).

Step3: Solve for \(x\)

Subtract \(99\) from both sides: \(x=180 - 99\).
So, \(x = 81\).

Answer:

\(x = 81\)