Question

find the value of unknown variables​

Answer 1

Answer:

I. x=180⁰-65=115⁰

ii.x+x+20=180⁰

2x=180⁰-20=160⁰

x=160÷2=80⁰

iii.z=130⁰(vertical opposite angles)

x=180⁰-130⁰=50⁰

y=130⁰(corresponding angles)

iv.x=30⁰

y=180⁰-30⁰=50⁰

hope it will help you

Answer 2

Answer:

(i) x = 115°

(ii) x = 80°

(iii) x = 50° ; y = 140° ; z = 130°

(iv) x = 30° ; y = 150°

Step-by-step explanation:

To find :

The value of unknown variables in (i), (ii), (iii) and (iv)

Solution :

We know that, linear pair means,

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(i)

Here, x, 65° are in linear pair

So, x + 65° = 180°

⇒ x = 180° - 65°

⇒ x = 115°

(ii)

Here, x+20°, x are in linear pair

So, x + 20° + x = 180°

⇒ 2x = 160°

⇒ x = 160°/2

⇒ x = 80°

(iii)

On line l, 40°, y are in linear pair

So, 40° + y = 180°

⇒ y = 140°

On line m, x, 130° are in linear pair

So, x + 130°= 180°

⇒ x = 50°

z and 130° are vertically opposite angles,

We know that, vertically opposite angles are equal.

⇒ z = 130°

(iv)

x and 30° are vertically opposite angles,

We know that, vertically opposite angles are equal.

⇒ x = 30°

Here, y, 30° are in linear pair

So, y + 30°= 180°

⇒ y = 150°

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