Question

what are the values of a and b?
(there is a triangle hij with h, i, j as vertices. side hi and ij have a red mark indicating they are equal. angle at h is labeled a, angle at j is 59°, angle at i is labeled b. then there are boxes to fill in a and b with degree symbols.)

Explanation:

Step1: Identify equal angles

The triangle has two equal sides (marked), so base angles are equal: $\angle a = \angle J = 59^\circ$

Step2: Calculate angle b

Sum of triangle angles is $180^\circ$. Subtract the two equal angles.
$\angle b = 180^\circ - 59^\circ - 59^\circ$

Answer:

$a = 59^\circ$
$b = 62^\circ$