Tag: icse
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Find the sum of interior angles of a five point star | CAT | SAT | Math Olympiad
We’re given the following triangle, with angles a, b, c, d and e as shown. We’re required to find the value of a+b+c+d+e. Solution Consider Triangle △ABC as shown. Then extend the line AC to Z. ∠ZAB is exterior angle to △ABC Hence, Using Exterior angle Theorem we get: ∠ZAB = b + d . .…
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Sum of opposites angles of a cyclic quadrilateral is 180° | Easy Method | Central Angle Theorem
We’re required to prove that the sum of opposite angles of a cyclic quadrilateral is 180°. For this, we use Central Angle Theorem. Central Angle Theorem Angle subtended by an arc at the center is double the angle subtended by it on remaining part of the circle. Proof: Consider a Centre of the circle, Say…
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