Question

what are the values of a and b?
(there is a triangle xyz with two sides marked as equal, angle at y is 60°, angle at z is a, angle at x is b. then there are boxes to fill a and b with degree symbols.)
a = \boxed{\space}°
b = \boxed{\space}°

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with red ticks), so it's isosceles. Thus, \( \angle Z = \angle Y \), so \( a = 60^\circ \).

Step2: Calculate \( b \)

Sum of angles in a triangle is \( 180^\circ \). So \( b = 180^\circ - a - 60^\circ \). Substitute \( a = 60^\circ \): \( b = 180 - 60 - 60 = 60^\circ \).

Answer:

\( a = 60^\circ \)
\( b = 60^\circ \)