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PLEASE ANSWER! WILL GIVE BRAINLIEST!

The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).

Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)

2. What is the measure of the sum of the angles in a triangle? (2 points)

3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)

4. What is the measure of a straight angle? (2 points)


5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)

PLEASE ANSWER WILL GIVE BRAINLIEST The horizontal lines l and m are parallel They are crossed by two transversals lines a and b Transversals a and b intersect t class=

Respuesta :

akposevictor

1. m∠5 = 75° (corresponding angles theorem)

2. Sum of angles in a triangle = 180°

3. m∠3 = 55°

4. Straight line angle = 180°

5. m∠2 = 50°

What is the Corresponding Angles Theorem?

If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.

1. m∠5 = m∠1 (corresponding angles theorem)

m∠5 = 75°

2. Sum of angles in a triangle = 180°

3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)

Substitute

m∠3 = 180 - 50 - 75 = 55°

4. Straight line angle = 180°

5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)

m∠2 = 180 - 55 - 75

m∠2 = 50°

Learn more about corresponding angles theorem on:

https://brainly.com/question/5221905

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