Question

what is m∠efh? m∠efh = °

Explanation:

Step1: Use angle - bisector property

Since the two right - angled triangles with side lengths 48 are congruent (by Hypotenuse - Leg congruence criterion as the hypotenuse and one leg are equal), the ray FH is an angle - bisector of ∠EFH. So, 3a=a + 2.

Step2: Solve the equation for a

Subtract a from both sides of 3a=a + 2. We get 3a−a=a + 2−a, which simplifies to 2a=2. Then divide both sides by 2: a = 1.

Step3: Find m∠EFH

m∠EFH=3a+(a + 2). Substitute a = 1 into the expression. m∠EFH=3×1+(1 + 2)=3 + 3=6.

Answer:

6