Question

In the given figure,If pQ||RS then find the measure of angle
of m​

Answer 1

AnsweR :

$\sf \bold{m = 124 \degree}$

SolutioN :

$\sf \angle \: P = \angle \: S = 56 \degree \: \: \: \: \: \: \: [PQ \: || \: RS \: alternate \: angles]$

$\sf \angle \: R \: + \angle \: T \: + \angle \: S = 180 \degree \\ \sf( Angle \: sum \: property \: of \: a \: triangle )$

$\sf \angle \: R = 114 \degree \\ \sf \angle \: T = m \\ \sf \angle \: S = 56 \degree$

$\sf114 \degree + m + 56 \degree = 180 \degree \\ \\ \sf58 \degree + m = 180 \degree \\ \\ \sf \: m = 180 - 56 = 124 \\ \\ \sf \: m = 124 \degree$

Answer 2

Answer:

m=110

Step-by-step explanation:

PQ||RS [Given]

Angle P= Angle S [Alternate Interior angles]

S=56

Sum of all angles of triangle =180°

R+M+S=180°

14+M+56=180°

70+M=180

m = 180-70

m=110°