Selina solutions

Selina solutions

Grade 6

Angles (With their Types) | Exercise 24(B)

Question 10

Q10)

For an angle x°, find :

(i) the complementary angle

(ii) the supplementary angle

(iii) the value of x° if its supplementary angle is three times its complementary angle.

Solution:

For an angle x,

(i) Complementary angle of x° = (90° - x)

(ii) Supplementary angle of x° = (180°- x)

(iii) Supplementary angle = 3 (complementary angle)

180°- x = 3(90°- x)

> 180° - x = 270°- 3x

> x + 3x = 270°- 180°

> 2x = 90°

x = \frac{90}{2}

> x = 45°

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Question 10

Q10)

For an angle x°, find :

(i) the complementary angle

(ii) the supplementary angle

(iii) the value of x° if its supplementary angle is three times its complementary angle.

Solution:

For an angle x,

(i) Complementary angle of x° = (90° - x)

(ii) Supplementary angle of x° = (180°- x)

(iii) Supplementary angle = 3 (complementary angle)

180°- x = 3(90°- x)

> 180° - x = 270°- 3x

> x + 3x = 270°- 180°

> 2x = 90°

x = \frac{90}{2}

> x = 45°

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Book a free class now

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