Question

Find the values of unknown in the following figures :
Please answer quick!
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Answer 1

ANSWER:

In the first figure,

x = 95°

y = 85°

z = 70°

In the second figure,

5x° = 60°

2x° = 24°

Step-By-Step Explanation:

For first figure,

to find x, first we will take the triangle ΔACD,

we know that sum of all side of a triangle = 180°

so, x + 60° + 25° = 180°

⇒x = 180° - (60 + 25)°

⇒x = 95°

to find y, we know that x and y lie on a straight line,

⇒x + y = 180°

⇒y = 180° - 95° = 85°

to find out z, we will take ΔBCD,

we know that sum of all sides of a triangle = 180°

so, 25° + y + z = 180°

⇒z = 180° - (85 + 25)°

⇒z = 70°

For second figure,

we know that ∠PRQ and 5x° lie on same line

so, ∠PRQ + 5x° = 180°

⇒∠PRQ = (180 - 5x)°

we know that sum of all angles of triangle = 180°

so, ∠PRQ + 2x° + 36° = 180°

⇒(180 - 5x)° + 2x° + 36°  = 180°

⇒-5x° + 2x° + 36° = (180 - 180)°

⇒36° = 5x° - 2x°

⇒3x° = (36/3)° = 12°

∴ 5x° = 5 × 12 = 60°

∴ 2x° = 2 × 12 = 24°

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