Question

ΔABC is isosceles. ∠A = 48° and ∠B = 4x + 4. What is the value of x?

a) 9
b) 10
c) 12
d) 13

Answer 1

In an isosceles triangle, the angles opposite the equal sides are equal. By setting up an equation using the given angles and solving for x, we find that x = 10. The correct option is B.

Step-by-step explanation:

Given that ∠A = 48° and ∠B = 4x + 4, and ΔABC is an isosceles triangle, we can conclude that ∠C must be equal to ∠A.

Therefore, ∠C = 48°.

Since the sum of angles in a triangle is 180°, we can set up the equation as follows:

48° + 48° + (4x + 4)° = 180°

By solving this equation, we find that x = 10.