Answer:
Explanation:
We know that:
- => m∠2 + 5x + 55 = 180°
- => 5x + 55 = 2x + 100
Because of 180° angle formula.
First, let's solve for x. Then we will solve m∠2.
- => 5x + 55 = 2x + 100
- => 5x - 2x = 100 - 55
- => 3x = 45
- => x = 15
Since we have found x, it is time to find m∠2.
- => 5(15) + 55 + m∠2 = 180
- => 75 + 55 + m∠2 = 180
- => 130 + m∠2 = 180
- => m∠2 = 180 - 130
- => m∠2 = 50
Conclusion:
Therefore, the measure of m∠2 is 50°
Hoped this helped.
