Question

find the value of a and b.

Explanation:

Step1: Find the value of a

Since the sum of angles around a point is 360°. Considering the straight - line BAE and the other angles, we know that the angle adjacent to 80° on the straight - line BAE is 180 - 80=100°. Then, in the set of angles around point A, we use the fact that the sum of angles in the non - overlapping part is 360°. Looking at the angles formed by the intersection of lines, we can find a. We know that a + 35°+ 80°=180° (because they form a straight - line). So, a=180° - 80° - 35°=$65^{\circ}$.

Step2: Find the value of b

The angle b and the 35° angle are vertical angles. Vertical angles are equal. So, b = 35°.

Answer:

a = 65
b = 35