Question

Find the missing angle in a triangle with the given sides.

Answer 1

1°

Explanation:

Given angles

• <x=89°
• <y=90°

We know that in a triangle

• Sum of angles=180°

`\rm \mapsto \angle x + \angle y + \angle z = 180 \\ \rm \mapsto89 + 90 + \angle z = 180 \\ \rm \mapsto179 + \angle z = 180 \\ \rm \mapsto\angle z = 180 - 179 = 1`

Answer 2

`\angle`Z = 1°

Explanation:

Since the shape is a triangle it means that all it's interior angles sum to 180°

To find the missing angle sum up the known angles and subtract them from 180°

That's

`\angle`X +
`\angle`Y +
`\angle` Z = 180°

89° + 90° +
`\angle`Z = 180°

`\angle`Z = 180 - 179°

We have the final answer as

`\angle`Z = 1°

Hope this helps you