Question

1. find the measure of each base angle in the figure below. (figure of an isosceles triangle with vertex angle 124° at i, and equal sides ih and ij. multiple choice options: 62°, 124°, 28°, 56°)

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with ticks), so it's isosceles with base angles ∠H and ∠J equal.

Step2: Sum of angles in triangle

Total angles in a triangle = 180°. Let base angle = $x$. Then $124° + x + x = 180°$.

Step3: Solve for $x$

$2x = 180° - 124° = 56°$, so $x = \frac{56°}{2} = 28°$.

Answer:

28°