Two supplementary angles differ by 20°. The smaller of the two measures

(a) 60°
(b) 80°
(c) 100°
(d) 120°

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Solution

$\begin{array}{l} (b) 80^{0} \\ Let the angle be x ° . \end{array} Then, complementary angle of x = 180 ° - x ° According to the question, we have : x - (180 - x) = 20 \Rightarrow x - 180 + x = 20 \Rightarrow 2 x = 10 + 180 \Rightarrow 2 x = 200 \Rightarrow x = 100 Hence, the smaller angle is 80 ° .$

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x

and

(20 + y)^{\circ}

are the supplementary angles and difference between them is

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, then the value of

y

The following figure shows a quadrilateral with sides AB and DC parallel to each other.

If $∠ A : ∠ D = 4 : 5$

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Which of the following options is/are correct ?

Question 34

If an angle is $60^{\circ}$ less than two times of its supplement, then the greater angle is
(a) $100^{\circ}$
(b) $80^{\circ}$
(c) $60^{\circ}$
(d) $120^{\circ}$

Q. Each angle of an equilateral triangle measures
(a) 30°
(b) 45°
(c) 60°
(d) 80°

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Two supplementary angles differ by 20°. The smaller of the two measures (a) 60° (b) 80° (c) 100° (d) 120°

(b) 800Let the angle be x°.Then, complementary angle of x=180°-x°According to the question, we have: x-180-x=20⇒x-180+x=20⇒2x=10+180⇒2x=200⇒x=100Hence, the smaller angle is 80°.

Two supplementary angles differ by 20°. The smaller of the two measures

(a) 60°
(b) 80°
(c) 100°
(d) 120°