The parallel lines at the right are cut by a transversal. Find the value of x. a. Angles 1 and 2 are corresponding angles, m∠1 = 45°, and m∠2 = (x + 25)°. b. Angles 3 and 4 are alternate interior angles, m∠3 = 2x°, and m∠4 = 80°.

generals336

generals336

Answered question

2021-01-02

The parallel lines at the right are cut by a transversal. Find the value of x.
a. Angles 1 and 2 are corresponding angles, m1=45°, and m2=(x+25)°.
b. Angles 3 and 4 are alternate interior angles, m3=2x°, and m4=80°.

Answer & Explanation

doplovif

doplovif

Skilled2021-01-03Added 71 answers

a.Since then lines are parallel, then corresponding angles are congruent and thus, have the same measure:
m1=m2
45=x+25
20=x
or
x=20
b.Since then lines are parallel, then alternate interior angles are congruent and thus, have the same measure:
m3=m4
2x=80
x=40

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