4 months ago
Q:

Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX?

Accepted Solution

A:
Step-by-step explanation:angle YWX = angle YXW ...eqn 1angle XYZ = angle WYX (0.5) = 15x...eqn 2angle YXZ = angle YXW = 2x + 5...eqn 3=> from eqn 1 and 3 we get...angle YWX = 2x + 5 ...eqn 4 => from eqn 2 we getangle WYX = 2 × angle XYZ = 30x...eqn 5a triangle has a total of 180deg, =>angle WYX + angle YWX + angle YXW = 180deg=> 30x + 2x +5 + 2x +5 = 180deg=> 34x +10 =180deg=> x = 5degsubst x = 5deg in eqn 5, we getangle WYX = 30 × 5 = 150deg