Solve. Justify your responses.
Given: a||b and c||d, m∠4=35°
Find: m∠1, m∠2, and m∠3
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The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.
An equation is an expression that shows the relationship between two or more numbers and variables.
m∠2 = m∠4 = 35° (corresponding angles are equal)
m∠2 = m∠3 = 35° (corresponding angles are equal)
m∠1 + m∠3 = 180° (base angles are supplementary)
m∠1 + 35 = 180
m∠1 = 145°
The measure of the angles m∠1, m∠2 and m∠3 are 145°, 35° and 35° respectively.
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