Question

Find x,y,z in the following figure​

Answer 1

Step-by-step explanation:

60+70+x= 180

x= 180-130

x= 50(angle sum property of

triangle)

x+y= 180 ( linear pair)

50+y= 180

y= 180-50

y= 130

30+y+z= 180

30+130+z= 180

z= 180-160

z= 20 (angle sum property of triangle)

Answer 2

In triangle ABC

angle A=60°

angle B=70°

angle C=?

we know that sum of all angles of traiangle is 180°

so

Angle A+ angle B+ angle C=180°

60°+70°+X=180°

130°+X=180°

X=180°-130°

X=50°

so the value of X is 50°

X+Y=180°

50°+Y=180°

Y=180°-50°

Y=130°

in triangle ACD

angle A=30°,angle C=130°=Y angle D=?=Z

so

Angle A+ angle C+Angle D=180°

30°+130°+Z=180°

160°+Z=180°

Z=180°-160°

Z=20°

so X=50°,Y=130°,Z=20°