Question

Help help help math math math math

Answer 1

66

Explanation:

1. The exterior angle theorem states that the measure of an exterior angle of a triangle is congruent to the sum of the two opposite interior angles.

• Basically, exterior angle = opposite interior angle + opposite interior angle

2. Now, let's see what information we have so far, and what we don't have.

• m∠4 is 124 degrees, is the exterior angle
• The angle with 58 degrees is one of the opposite interior angles
• ∠2 is the other opposite interior angle, but we don't know its measure

3. Now, let's set up the equation and solve it.

Step 1: Set up the equation.

• 
  `124 = x + 58`

Step 2: Subtract 58 from both sides.

• 
  `124-58=x+58-58`
• 
  `66 = x`

Step 3: Check if solution is correct.

• 
  `124=66+58`
• 
  `124=124`

Therefore, the answer is 66.

Answer 2

66 degrees.

Explanation:

angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.

Add 56 and 58, you'd get 114.

180-114=66

angle 2=66 degrees.