Question

<1 and <2 are vertical angles. if m<1 = (6x+
11) and m<2 = (10x-9), find m<1

Answer 1

m∠1 = 41°

Explanation:

Step 1: Set up equations

6x + 11 = 10x - 9

Step 2: Solve for x

11 = 4x - 9

20 = 4x

x = 5

Step 3: Find m∠1

m∠1 = 6x + 11

m∠1 = 6(5) + 11

m∠1 = 30 + 11

m∠1 = 41°