Question

100-(114+51)
x=
180
a=

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate \(x\)

For the first triangle with angles \(114^{\circ}\), \(31^{\circ}\), and \(x^{\circ}\), we use the formula \(x = 180-(114 + 31)\).

$$x=180 - 145=35$$

Step3: Calculate \(a\)

For the second triangle with angles \(72^{\circ}\), \(53^{\circ}\), and \(a^{\circ}\), we use the formula \(a=180-(72 + 53)\).

$$a = 180-125 = 55$$

Answer:

\(x = 35\), \(a = 55\)