Answer:
1: 47
2: 133
3: 89
Step-by-step explanation:
We can solve 3 first. 3 and the 91 degree angle make a straight line, so 3 is 89. Then, we can solve for the blank angle in the triangle on the right. 89 and 43 make 132, so 180 - 132 is the blank angle.
180 - 132 = 48
The blank angle is 48.
We can see that z is a right angle, so 48 and and 42 make up z. because of this, we now know that the bottom angle of the middle triangle is 42.
We can use this to solve for angle 1. 91 + 42 = 133, so we then do 180 - 133. 180 - 133 is 47, so angle 1 (m1) is 47.
Now, we know that m1 and m2 make up another straight line, which will be equal to 180 degrees. We know m1 is 47, so 180 - 47 = (m2). When we subtract, we are left with 133, so m2 is 133.