Question

in an isosceles triangle the vertical angle and the base are in the ratio 8:5 find all angles of the triangle ​

Answer 1

Step-by-step explanation:

Base angle = 5x

Base angles = 2(5x)

Vertical angle = 8x

According to angle sum property;

total interior angles of triangle = 180°

180 = 10x + 8x

180 = 18x

x = 180/18

x = 10

10°

Angles are 80°, 50°, 50°

Answer 2

Given:-

• In an isosceles triangle the vertical angle and the base are in the ratio 8:5.

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To find:-

• All angles of the triangle.

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Solution:-

We know that,

• Sum of all angles of triangle is 180°.

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⇛ 8x + 5x + 5x = 180

⇛ 8x + 10x = 180

⇛ 18x = 180

⇛ x = 180/18

⇛ x = 10

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Therefore,

• 8x = 8 × 10 = 80°
• 5x = 5 × 10 = 50°

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Hence,

• the angles are 80°, 50° and 50°.