One angle is equal to three times its supplement. The measure of the angle is

(a) 130°

(b) 135°

(c) 90°

(d) 120°

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Solution

Let the supplement of the angle be

Therefore, according to the given statement, the required angle measures

Since the angles are supplementary, therefore their sum must be equal to

Or we can say that

Thus, the supplement of angle measures

Hence, the correct choice is (b).

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Similar questions

The sum of an angle and one third of its supplementary angle is $90^{\circ}$ . The measure of the angle is
(a) $135^{\circ}$
(b) $120^{\circ}$
(c) $60^{\circ}$
(d) $45^{\circ}$

Choose the correct option:

The measure of an angle which is 5 times its supplement is ___________

A. 30°

B. 60°

C. 120°

D. 150°

Q. The supplement of an angle is six times its complement. The measure of this angle is
(a) 36°
(b) 54°
(c) 60°
(d) 72°

Q. Question 15
The measure fo an angle which is four times its supplement, is
(a)

36^{\circ}

(b)

144^{\circ}

(c)

16^{\circ}

(d)

64^{\circ}

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) $120^{\circ}$

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One angle is equal to three times its supplement. The measure of the angle is (a) 130° (b) 135° (c) 90° (d) 120°

Let the supplement of the angle be Therefore, according to the given statement, the required angle measures Since the angles are supplementary, therefore their sum must be equal to Or we can say that Thus, the supplement of angle measures Hence, the correct choice is (b).

One angle is equal to three times its supplement. The measure of the angle is

(a) 130°

(b) 135°

(c) 90°

(d) 120°

Let the supplement of the angle be

Therefore, according to the given statement, the required angle measures

Since the angles are supplementary, therefore their sum must be equal to

Or we can say that

Thus, the supplement of angle measures

Hence, the correct choice is (b).