Math, asked by nitinkarki31, 9 months ago

Anyone pls help me! Pls

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Answered by Anonymous

Answer:

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x = 29°

y = 106°

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Concept:

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Sum of adjacent angles of a parallelogram = 180°

Opposite angles of a parallelogram are equal

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Explanation:

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We know that sum of adjacent angles of a parallelogram is 180°.

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y + 3x - 13° = 180°

y + 3x = 193° .........(1)

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We know that opposite angles of a parallelogram are equal.

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x + 45° = 3x - 13°

x - 3x = -45° - 13°

-2x = -58°

x = 29°

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Substituting the value of x in equation (1), we get:

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y + 87° = 193°

y = 193° - 87°

y = 106°

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Therefore, the answer is :

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x = 29°

y = 106°

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Other Formulas:

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1) Sum of Interior Angles of a polygon where n is the number of sides of polygon= (2n - 4) * 90°

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2)Number of sides of a polygon when exterior angle is given = $\dfrac{360^{\circ}}{x}\\$

where x is the exterior angle

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3) Sum of all exterior angles of any polgon = 360° $\\\\$

4) Number of diagonals of n sided polygon = $\dfrac{n(n-1)}{2}-n\\\\$

5) Sum of exterior and interior angle of a polygon of n sides = 180°

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