Two parallel lines, e and f, are crossed by two transversals.What is the measure of Angle15?mAngle15 = 77°mAngle15 = 83°mAngle15 = 93°mAngle15 = 97°

Two parallel lines e and f are crossed by two transversalsWhat is the measure of Angle15mAngle15 77mAngle15 83mAngle15 93mAngle15 97 class=

Respuesta :

Answer:

m∠15=97°

Explanation:

In the given figure:

Angles 97° and angle 14 are corresponding angles, therefore:

[tex]m\angle14=97\degree[/tex]

Next, angles 14 and 15 are vertical angles. Since the measure of vertical angles is equal, then:

[tex]\begin{gathered} m\angle15=m\operatorname{\angle}14 \\ \implies m\operatorname{\angle}15=97\degree \end{gathered}[/tex]

The measure of angle 15 is 97°.