Selina solutions

Selina solutions

Grade 6

Angles (With their Types) | Revision Exercise

Question 11

Q11)

For an angle y°, find :

(i) its supplementary angle.

(ii) its complementary angle.

(iii) the value of y° if its supplement is four times its complement.

Solution:

For an angle y

(i) Its supplementary angle= 180° - y

(ii) Its complementary angle= 90° - y

(iii) Supplementary angle of y= 4(Complementary angle of y)

180° - y = 4(90°-y)

180° - y = 360° - 4y

4y-y + 360°- 180°

3y=180°

y= \frac{180}{3}=60°

y=60°

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Question 11

Q11)

For an angle y°, find :

(i) its supplementary angle.

(ii) its complementary angle.

(iii) the value of y° if its supplement is four times its complement.

Solution:

For an angle y

(i) Its supplementary angle= 180° - y

(ii) Its complementary angle= 90° - y

(iii) Supplementary angle of y= 4(Complementary angle of y)

180° - y = 4(90°-y)

180° - y = 360° - 4y

4y-y + 360°- 180°

3y=180°

y= \frac{180}{3}=60°

y=60°

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subject-cta
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