Question

1. triangle ghi with angles (16x)°, (16x)°, and (13x)° at vertices g, h, i respectively.

Explanation:

Step1: Sum angles to 180°

$$16x + 16x + 13x = 180$$

Step2: Simplify left side

$$45x = 180$$

Step3: Solve for x

$$x = \frac{180}{45} = 4$$

Step4: Calculate ∠G and ∠H

$$\angle G = \angle H = 16 \times 4 = 64$$

Step5: Calculate ∠I

$$\angle I = 13 \times 4 = 52$$

Answer:

$\angle G=64^\circ$, $\angle H=64^\circ$, $\angle I=52^\circ$