Question

In Figure 4, EF and AG are straight lines. The straight lines AD and BC are parallel. ?HAB = 79° and ?ABH = 45°. The angles marked ? are equal. A 79° E ? H 45° B F ? G D C Figure 4 (i) Explain why the two angles marked ? are equal, and find the value of ?. (ii) Find ?CBG, explaining your reasoning.

          In Figure 4, EF and AG are straight lines. The straight lines AD and BC are parallel. ?HAB = 79° and ?ABH = 45°. The angles marked ? are equal.
A 79° E ? H 45° B F ? G D C Figure 4 (i) Explain why the two angles marked ? are equal, and find the value of ?. (ii) Find ?CBG, explaining your reasoning.

In Figure 4, EF and AG are straight lines. The straight lines AD and BC are parallel. ?HAB = 79° and ?ABH = 45°. The angles marked ? are equal.
A 79° E ? H 45° B F ? G D C Figure 4 (i) Explain why the two angles marked ? are equal, and find the value of ?. (ii) Find ?CBG, explaining your reasoning.

Added by Tom-S L.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Sri K

06/21/2022

Step 1

Step 1: Since AD and BC are parallel lines and EF is a transversal, angle θ and angle H are corresponding angles, which means they are equal. Show more…

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In Figure 4, EF and AG are straight lines. The straight lines AD and BC are parallel. ∠HAB = 79° and ∠ABH = 45°. The angles marked θ are equal. (i) Explain why the two angles marked θ are equal, and find the value of θ. (ii) Find ∠CBG, explaining your reasoning.