![]() ![]() ![]() A student designed the stationery border shown here. Find the angle measures in the weaving if m∠1 = 122. įind the value of the variable and the angle measures.ġ7. M∠2 = 68, because vertical angles add up to 180. Two lines that intersect to form a right angle are called _?_.Īre the angles are complementary, supplementary, or neither?ĭescribe and correct the error in the solution. The sum of the measures of two _ ?_ angles is 180. M∠5 + 125 = 180 Definition of supplementary anglesġ1. The angle with measure 125 and ∠5 are supplementary. ∠1 and ∠5 are corresponding angles, so they have equal measures.įind m∠5. When a line intersects two parallel lines, several pairs of angles that are formed have equal measures.Ĭorresponding Angles: m∠1 = m∠5 m∠2 = m∠6 Īlternate Interior Angles: m∠3 = m∠6 m∠4 = m∠5Īlternate Exterior Angles: m∠1 = m∠8 m∠2 = m∠7 Two lines in the same plane that do not intersect are called parallel lines. Two lines that intersect at a right angle are called perpendicular lines.įind the measures of the numbered angles. When two lines intersect to form one right angle, they form four right angles. ![]() M∠1 + m∠2 = 180 Definition of supplementary angles These pairs are called vertical angles, and they always have the same measure. When two lines intersect at a point, they form two pairs of angles that do not share a side. M∠1 + m∠ 2 = 90 Definition of complementary anglesĪre ∠1 and ∠2 are complementary, supplementary, or neither ? ∠1 and ∠2 are complementary, and m∠2 = 32. You can write "the measure of angle 1" as m∠1. Two angles are complementary if the sum of their measures is 90. Two angles are supplementary if the sum of their measures is 180. ![]()
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