Question

Help !! what is the m<|1

Answer 1

the angle of 1 is 68 degrees

Answer 2

`\boxed {\boxed {\sf m \angle 1 = 68 \textdegree}}`

Explanation:

The 3 interior angles of a triangle must add to 180 degrees.

• m∠1 + m∠2 + m∠3 = 180°

We don't know the measure of angle 1. We can say the measure of angle 2 is 61° and the measure of angle 3 is 51°.

• m∠1 + 61° + 51°= 180°

Add the numbers on the left side.

• m∠1 + 112° = 180°

We want to isolate the measure of angle 1.

112 is being added, so we must perform the inverse operation of subtraction.

• m∠1 +112°-112°= 180°-112°
• m∠1= 180° - 112°
• m∠1=68°

The measure of angle 1 is 68 degrees.