Question

In th fig. coplaner line l, m and n intersect each other in only onepoint.P, q, r, s, t and n denote the measures of the angles as shown.If p= 97° , r =29° , find the valueof q, s, t and n.​

Answer 1

u= r= 29° (vertical opposite)

t=q=97° (vertical opposite)

in any given line, let take l

we know that p+q+r= 180°

p+97+29= 180

p= 180-126= 54

and s=p= 54 (vertical opposite angle)

Answer 2

Step-by-step explanation:

BY VERTICALLY OPPOSITE ANGLES,

ANGLE P= ANGLE S

ANGLE T= ANGLE Q

ANGLE U= ANGLE R

ANGLE P= 97° = ANGLE S

ANGLE U= ANGLE R= 29°

ANGLE OF A STRAIGHT LINE= 180°

ANGLE OF LINE, l = 180°

29°+ 97°+ ANGLE T= 180°

127°+ ANGLE T= 180°

ANGLE T= 180°- 126°

ANGLE T= 54°

ANGLE T= ANGLE Q= 54°