What Are Corresponding Angles What Are Corresponding Angles Let we have two lines and that lines are cut or intersect by third line is known as traversal and the angle made by matching the corners is said to be corresponding angles. Corresponding angles are said to be congruent angles which are lying on the same side of the traversal. Here in the below diagram we have to show, What are Corresponding Angles? In this diagram the angle ∠D is equal to the angle ∠E, And angle ∠A is equal to ∠H, And the angle ∠C is equal to the angle ∠F, And the angle ∠B is equal to ∠G. Example: - In the given figure, if the angle ‘B’ is 45 degree, and then finds the other seven angles and shows that it follows the property of corresponding angles.In this given diagram we have to find all the corresponding angles.
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Solution: Given that ∠B = 45 degree and ‘∠E’ and ‘∠D’ are both corresponding angles. So, the angles ‘∠E’ and ‘∠D’ are equal. Therefore ∠E = 45 degree. We know that a straight angle has a measure of 180 degree. So, <D + <C = 180 degree. We know that the value of angle ‘D’ is 45 degree. On putting the value of <D in the above equation we get. ? 450 + ∠C = 1800, ? ∠C = 1800 – 450, ?∠C = 1350 degree, After solving the equation we get the value of angle <C is 1350. Here ∠C and ∠F are corresponding angles. Therefore, ∠C and ∠F are equal. Therefore, <F is also 1350 degree. We know that, a straight angle has a measure of 180 degree. So, <A + <B= 180 degree. ? 450 + <B= 1800, ? <B = 1800 – 450, ∠B = 1350, so the value of angle <B is 1350.
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Here, <B and <Gare corresponding angles. Therefore, <B and <G are equal. Therefore, <H is also 1350 degree. We know that a straight angle has a measure of 180 degree. So, <B + <C = 180 degree. 1350 + <C = 1800, <C = 1800 – 1350, <C = 450, Here, <B and <G are corresponding angles. Therefore, <C and <B are equal. Therefore, <C is also 450 degree. So, ∠D = ∠E = ∠B = ∠G are 450 degree, And ∠A = ∠H = ∠C = ∠F = 1350 degree. If we have two parallel lines and these lines are cut by the third line, then the corresponding angles are formed. These corresponding angles are equal to each other. Now we will see how to find corresponding angles? We follow some of the steps for finding the corresponding angles, the steps are given below: Step1: For finding the corresponding angles first we have to find the one side angle. Step2: According to the definition of corresponding angles we know that the corresponding angles are equal, so when we know the one side angle value and then we easily find out the other side corresponding angle.
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