Question

What is the measure of the missing angle?
31°
900

Answer 1

Explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

`\tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}` { Sum of angles of a triangle }

⇢
`\tt{x \degree + 121 \degree = 180 \degree}`

⇢
`\tt{ \: x \degree = 180 \degree - 121 \degree}`

⇢
`\tt{x \degree = 59 \degree}`

`\red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}`

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer 2

59

Explanation:

`180=31+90+x\\\\180=121+x\\x=180-121\\x=59`

using sum of angles in a triangle