Question

warm up - 2/12
identify the angle type. then find the value of x.
a.
b.
c.

Explanation:

a. Step1: Identify angle type (Alternate Interior)

These are alternate interior angles, so they are congruent.

a. Step2: Set equal to solve for x

$x = 85^\circ$

b. Step1: Identify angle type (Same-Side Interior)

These are same-side interior angles, so they sum to $180^\circ$.

b. Step2: Calculate x

$x = 180^\circ - 137^\circ = 43^\circ$

c. Step1: Identify angle type (Corresponding)

These are corresponding angles, so they are congruent.

c. Step2: Set equal to solve for x

$x = 40^\circ$

Answer:

a. Angle type: Alternate Interior Angles; $x = 85^\circ$
b. Angle type: Same-Side Interior Angles; $x = 43^\circ$
c. Angle type: Corresponding Angles; $x = 40^\circ$