(a) Define a linear pair of angles. (b) State the converse of the Linear Pair Axiom.…

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

(a) Define a linear pair of angles. (b) State the converse of the Linear Pair Axiom. (c) Two adjacent angles have measures

x^{\circ}

and

y^{\circ}

such that

x^{\circ}+y^{\circ}=180^{\circ}

. Explain, with logical reasoning, why the non-common arms of these angles must lie along the same straight line.