An angle measures

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

An angle measures

x^{\circ}

. Its complement is stated to be

(4x - 10)^{\circ}

. (a) Form an equation in

x

using the above information and solve it. (b) Find the measures of the angle and its complement. (c) Determine the range of real values of

x

for which

(4x - 10)^{\circ}

actually represents a valid complement of

x^{\circ}

. Show your reasoning clearly.