In a diagram, angle X and angle Y are vertical angles and angle X is a complementary angle with angle Z. If angle Y is 41°, write an equation that you can use for angle Z.

Question

In a diagram, angle X and angle Y are vertical angles and angle X is a complementary angle with angle Z. If angle Y is 41°, write an equation that you can use for angle Z.

Answer 1

Since angle X and angle Y are vertical angles, they must have the same measure. Therefore, angle X is also 41°.

Angle X is a complementary angle with angle Z, which means they add up to 90°. So, the equation that can be used for angle Z is:

angle X + angle Z = 90°

Substituting the value of angle X, the equation becomes:

41° + angle Z = 90°