Attachment 20025

In the figure at right, if DC || FG || AB, EA≅EB, and m∠1=28º, find the measures of all numbered angles

help please?

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- Dec 8th 2010, 09:12 AMtysonrssmeasurement to all angles
Attachment 20025

In the figure at right, if DC || FG || AB, EA≅EB, and m∠1=28º, find the measures of all numbered angles

help please? - Dec 8th 2010, 09:49 AMmasters
Hi tysonrss,

What have you tried so far? This is pretty straight forward if you are familiar with a few geometric postulates and/or theorems.

[1a] When two parallel lines are cut by a transversal, alternate interior angles are congruent.

[1b]When two parallel lines are cut by a transversal, corresponding angles are congruent.

[2] Base angles of an isosceles triangle are congruent.

[3] Vertical angles are congruent

[4] Two angles that form a linear pair are supplementary

To get you started, angles 1 and 8 are congruent by [1a].

Angles 7 and 8 are congruent by [2]

Angles 7 and 2 are congruent by [1a]

Can you determine the rest?