Question

what are the values of a and b?
(there is a triangle efg with f at the top, e at the left, g at the bottom right. sides ef and fg are marked as equal. angle at g is 46 degrees, angle at f is a, angle at e is b. then there are input boxes for a and b with degree symbols, and a submit button.)

Explanation:

Step1: Identify equal angles

Sides $FE=FG$, so $\angle b = \angle G = 46^\circ$

Step2: Calculate angle $a$

Sum of angles in triangle is $180^\circ$.
$\angle a = 180^\circ - \angle b - \angle G$
$\angle a = 180^\circ - 46^\circ - 46^\circ$

Answer:

$a = 88^\circ$
$b = 46^\circ$