Question

489
X
96°
x =
degrees

Answer 1

x=144°

Explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

Answer 2

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

So,

`\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\`

`\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\`