if the lines m and n are parallel to each other then determine the angle <5 and <7
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if the lines m and n are parallel to each other then determine the angle <5 and <7
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Concept-
Use the concept of interior angle ,complementary angles and vertically opposite angles to find the angles.
Given-
Line m and n are parallel to each other and ∠2 is equal to 125°.
Find-
Find the values of ∠5 and ∠7.
Solution-
angle 2 = angle 4 ( vertically opposite angles)
⇒ 125°=125°
angle 4 + angle 5 = 180° ( interior angle are complement)
⇒ 125°+ angle 5= 180°
⇒ angle 5 = 55°
⇒ angle 5= angle 7 = 55° ( vertically opposite angle)
Hence, angle 5 and angle 7 is 55°.
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