Question

The exterior angle of a polygon is 36 degrees, find its corresponding interior angles

Can Someone Help Me Plz Urgently......8th Grade

Answer 1

Answer:

180-36=144°

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Answer 2

$\text\red</strong><strong>{</strong><strong>Answer</strong><strong>:</strong><strong>}</strong><strong>$

$<b> Answer is 144°$

$\text\red</strong><strong>{</strong><strong>Step-by-step</strong><strong>-</strong><strong>explanation:</strong><strong>}</strong><strong>$

$<marquee>First Method</marquee>$

$<b>Given,$

$<b>Exterior angle = 36°$

$<b>Number of sides of a polygon =\frac{360°}{x}$

$<b>where x is the exterior angle$

$<b>no. of sides = \frac{360°}{36°}$

$<b> = 10$

$<b>Each interior angle = ({\frac{2n-4}{n}}\times 90°)$

$<b> = ({\frac{16}{10}}\times 90°)$

$<b> = (16 \times 9)°$

$<b>= 144° is the answer$

$<marquee> Second Method</marquee>$

$<b>Since the exterior and interior angles are supplementary$

$<b>So, their sum is equal to 180°$

$<b>Let the interior angle be x°$

$<b>36° + x° = 180°$

$<b>x° = 144°$

$<marquee>Thanks </marquee>$