Question

9 ) In the adjoining figure find x+y+z
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Answer 1

Step-by-step explanation:

The straight line means 180 degrees,so

60+y=180

y=180-60

y=120

70+x=180

x=180-70

x=110

The sum of the measure of all angles of triangle is 180 degrees.

So,

70+60+a =180

130+a =180

a=180-130

a=50

Now,

50+z=180

z=180-50

z=30

The answers are

x = 110

y = 120

z = 30

Answer 2

$\textbf{\huge{Answer}} \\ \\ \angle \: y = 180 \degree - 60 \degree = 120 \degree \\ \angle \: x = 180 \degree - 70 \degree \: = 110 \degree \\ \\ sum \: of \: all \: the \: interior \: angles \: of \: a \: triangle = 180 \degree \\ 70 \degree + 60 \degree + third \: angle = 180 \degree \\ third \: angle = 180 \degree - 130 \degree \\ third \: angle \: = 50 \degree \\ \angle \: z = 180 \degree - 50 \degree = 130 \degree$