Question

what are the values of x and y?
work it out
not feeling ready yet? these can help:
submit
video
questions
answered
48
time
elapsed
00 20 36
hr min sec
smartscore
out of 100 76

Explanation:

Step1: Use the property of isosceles triangle

Since the two sides of the triangle are equal (marked with red lines), the base angles are equal. So \(y = 73^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So \(x+73^{\circ}+73^{\circ}=180^{\circ}\). Then \(x = 180^{\circ}-73^{\circ}-73^{\circ}=34^{\circ}\).

Answer:

\(x = 34\), \(y = 73\)