At the intersection of two lines

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

At the intersection of two lines, four angles

\angle 1, \angle 2, \angle 3

and

\angle 4

are formed in order. If

\angle 1 = 2x + 15^{\circ}

and

\angle 2 = 3x - 25^{\circ}

, find the measure of

\angle 3

. (a)

95^{\circ}

(b)

89^{\circ}

(c)

91^{\circ}

(d)

83^{\circ}