Question

16. In the adjoining figure, if ll|m, then find the value of angle x​

Answer 1

Explanation:

Hey, there!!

Let's solve it simply,

angle ONP = 60°+55° { as exterior angle is equal to the sum of opposite interior angle}.

Therefore, angle ONP = 115°.

Now, let's solve for x,

x+ 115°=180° { because the sum of co-interior angle is 180°}.

x= 180°-115°

Therefore, the measure of angle x is 65°.

Hope it helps...

Answer 2

`\Huge \boxed{{x=65\° }}`

Explanation:

l and m are parralel lines.

The third angle in the triangle is also x, because of corresponding angles.

Angles in a triangle add up to 180 degrees.

Create an equation and solve for x.

x + 60 + 55 = 180

Add the numbers.

x + 115 = 180

Subtract 115 from both sides.

x = 65