Question

this question has two parts. first, answer part a. then, answer part b.
part a
incorrect
1 try left. try once more
automobiles refer to the image.
a. find ( mangle 1 ) and ( mangle 2 ).
( mangle 1 = square^circ ), ( mangle 2 = square^circ )
part b

Explanation:

Step1: Analyze ∠1

Assuming the angles around the car hood form a triangle or supplementary angles. Wait, looking at the image, maybe ∠1 and the 77° angle are related. Wait, maybe the hood forms a triangle with angles 77°, 72°, and ∠2? Wait, no, maybe ∠1 is supplementary to the sum of 77° and 72°? Wait, no, let's think again. Wait, the sum of angles in a triangle is 180°. Wait, maybe the three angles (77°, 72°, and ∠2) are in a triangle? No, maybe ∠1 is equal to 72°? Wait, no, maybe vertical angles or something. Wait, maybe the car hood's hinge: the angles around a point? Wait, no, let's check the angles. Wait, if we have a triangle with angles 77°, 72°, then the third angle (∠2) would be 180 - 77 - 72 = 31? No, that doesn't make sense. Wait, maybe ∠1 is equal to 72°? Wait, no, maybe the two angles 77° and 72° are adjacent to ∠2, and ∠1 is equal to 72°? Wait, no, maybe I made a mistake. Wait, let's recalculate. The sum of angles in a triangle is 180. So if two angles are 77° and 72°, then the third angle (∠2) is 180 - 77 - 72 = 31? No, that can't be. Wait, maybe ∠1 is 72° and ∠2 is 31°? Wait, no, maybe the other way. Wait, maybe ∠1 is 77°? No, wait, maybe the angles are: ∠1 and 77° are vertical? No, maybe the hood's angle: when the hood is open, the two angles (77° and 72°) and ∠2 form a triangle, and ∠1 is equal to 72°? Wait, I think I messed up. Wait, let's do the math: 180 - 77 - 72 = 31. So ∠2 is 31°, and ∠1 is 72°? Wait, no, maybe ∠1 is 77°? Wait, no, maybe the angles are such that ∠1 is equal to 72° and ∠2 is 31°, or ∠1 is 77° and ∠2 is 31°? Wait, no, let's check again. 77 + 72 = 149. 180 - 149 = 31. So ∠2 is 31°. Then ∠1: maybe ∠1 is equal to 72°? Wait, maybe the two angles (77° and ∠1) are equal? No, that doesn't make sense. Wait, maybe the problem is that ∠1 is 72° and ∠2 is 31°, or ∠1 is 77° and ∠2 is 31°? Wait, no, let's think again. Wait, the image shows a car with hood open, and two angles labeled 77° and 72°, and angles 1 and 2. Maybe ∠1 is equal to 72° (vertical angle or something), and ∠2 is 180 - 77 - 72 = 31°. So m∠1 = 72°, m∠2 = 31°? Wait, no, maybe ∠1 is 77°? Wait, I'm confused. Wait, let's recalculate: 77 + 72 = 149. 180 - 149 = 31. So ∠2 is 31°. Then ∠1: maybe ∠1 is equal to 72° (since it's a corresponding angle or something). So m∠1 = 72°, m∠2 = 31°? Or m∠1 = 77°, m∠2 = 31°? Wait, no, maybe the other way. Wait, maybe the three angles (77°, 72°, ∠2) are in a triangle, so ∠2 = 180 - 77 - 72 = 31°. Then ∠1 is equal to 72° (since it's a vertical angle or alternate interior angle). So m∠1 = 72°, m∠2 = 31°.

Step2: Confirm

Wait, let's check again. 77 + 72 + 31 = 180. Yes, that works. So ∠2 is 31°, and ∠1 is 72° (maybe because it's equal to the 72° angle). So m∠1 = 72°, m∠2 = 31°.

Answer:

m∠1 = 72°, m∠2 = 31°