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If angle 1 is 45 then find measurement of other angles 2,3,6,7,8 |
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Answer» e 1 is 45° then find MEASUREMENT of other angles 2,3,6,7,8.∠2 = 135°∠3 = 45°∠6 = 135°∠7 = 135°∠8 = 45°❁ ∠1 = 45°◈ The value of,∠2∠3∠6∠7∠8Here we GO! So here we see that the two lines are parallel to each other so which means we may have a lot of combinations as follows,☆Internal opposite angles are equal☆External opposite angles are equal☆Adjacent angles add up to 180° ☆Co-interior angles add up to 180° ☆Vertically Opposite Angles are equal. [From these RULES we may derive the needed values]Finding ∠2➝ ∠1 + ∠2 = 180°[Adjacent angles]➝ 45° + ∠2 = 180°➝ ∠2 = 180° - 45Finding ∠3➝ ∠1 = ∠3[Vertically Opposite]➝ ∠3 = 45°Finding ∠6➝ ∠3 + ∠6 = 180°[Co-interior angle]➝ 45° + ∠6 = 180°➝ ∠6 = 180°- 45°Finding ∠7➝ ∠6 = ∠7[Vertically Opposite]Finding ∠8➝ ∠6 + ∠8 = 180°[Linear Pair]➝ 135° + ∠8 = 180°➝ ∠8 = 180°-135°✧・゚: *✧・゚:*✧・゚: *✧・゚:*Additional Notes :- ★ What is Vertically Opposite Angle? ➹ Two angles are called a pair of vertically opposite angles, if their arms form two pairs of opposite rays. ★ What is Corresponding angles? ➹ The angles which occupy the same relative position at each intersection where a straight line crosses two others are known as corresponding angles. If the two lines are parallel, the corresponding angles are equal.★ What is Linear pair of angles? ➹ Two adjacent angles of which different arms are opposite rays are called linear pair of angles.★ What is Supplementary angles? ➹ If the sum of two angles is 180°, these are called supplementary angles. For example, two angles measuring 62° and 118° are supplementary angles, because 62° + 118° = 180°.★ What is Complementary angles? ➹ Two angles, the sum whose measure is 90°, are called complementary angles. For example, angles measuring 30° and 60° are complementary angles as their sum is equal to 90° (30°+ 60° = 90°).★ What is Parallel lines? ➹ Two different lines in a plane are said to be parallel, if there is no point COMMON in them even through these lines are EXTENDED on both sides to any extent. |
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