Question

In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.

Answer 1

91 because 180- 89=91

Answer 2

Alright, lets get started.

Angle 3 and angle 4 are adjacent angles because they are having the common side.

They both are on straight line, so, their addition will be 180°.

Suppose angle 4 is x , hence

angle 4 + angle 3 = 180

$x + 89 = 180$

Subtracting 89 from both sides

$x + 89 - 89 = 180 - 89$

$x = 91$°

Hence angle 4 is 91°. : Answer

Hope it will help :)