Question

An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?
(2 marks)

Answer 1

A + B = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${90}^{\circ }$, where A and B are two complementary angles with the measure of A given to be greater than 45°.
(1 mark)

B = ${90}^{\circ }$ − A

Since A is greater than 45°, therefore, B will be lesser than ${45}^{\circ }$.
(1 mark)