Angles and Types of Angles

Q.

The measure of an angle is five times its complement. The angle measures

(a) ${25}^{\circ }$

(b) ${35}^{\circ }$

(c) ${65}^{\circ }$

(d) ${75}^{\circ }$

Q.

Find the angle whose supplement is four times its complement.

Q.

Prove that the bisectors of two adjacent supplementary angles include a right angle.

Q.

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

1. ${90}^0$
   

2. ${130}^0$

3. ${135}^0$
   

4. ${120}^0$

Q.

Find the angle whose complement is one third of its supplement.

Q.

An angle which measures more than ${180}^{\circ }$ but less than ${360}^{\circ }$, is called

(a) an acute angle

(b) an obtuse angle

(c) a straight angle

(d) a reflex angle

Q.

Find the angle which is five times its supplement.

Q.

An angle is 14degree more than its complementary angle. What is it's measure?

Q.

Two complementary angles are in the ratio 4 : 5. Find the angles.

Q.

Find the measure of an angle which is ${36}^{\circ }$ more than its complement.

Q.

Find the measure of an angle, if six times it's complement is 12 degree less than twice it's supplement.

Q. ABCD is a cyclic quadrilateral
if. Angle A = 2x+4
Angle B= x+10
Angle C = 4y+4
Angle D = 5y+5
Find x, y

Q. Write the angle which is one-fifth of its complement.

Q.

Two Supplementary Angles Differ By $34°$. Find The Angles

Q.

The difference of two complementary angles is ${40}^o$. Then the angles are :-

1. 65°, 25°

2. 70°, 30°

3. 70°, 20°

4. 60°, 30°

Q.

Find the angle which is twice its supplement.

Q.

Two complementary angles are such that twice the measure of the one is equal to the three times the measure of the other .the larger of the two measures

Q.

If the supplement of an angle is $4$ times of its compliment, then the measure of the angle is _______________.

Q. Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is

(a) 45°

(b) 30°

(c) 36°

(d) none of these

Q.

What is a reflex angle ?

How to find a reflex of a given angle?

Eg reflex of 110°.

Q.

If two angle are complement of each other then each angle is

Q.

Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

1. 30^o

2. 60^o

3. 40^o

4. 80^o

Q.

Find the value of x for which the angles $(2x-5{)}^{\circ }$ and $(x-10{)}^{\circ }$ are the complementary angles.

Q. An angle is ( 1/5)th of its complement. Find the angles.

Q. Let k be the ratio of the supplement of an acute angle to that of its complement. Then, k always satisfy which of the following conditions?

1. $0<k<\frac{1}{2}$
   
2. $\frac{1}{2}<k<1$
   
3. 1 < k < 2
4. k > 2

Q.

What is the sum of the angles at a point ?

Q. Find the complement of 52 degree 30 minute 29 second

Q.

An angle is equal to $8$ times of its complement. Find its measure.

Q. What is the complementary angle of 57 degrees?

1. 23 degrees
2. 33 degrees
3. 123 degrees
4. 43 degrees

Q. If the angles (2x − 10)° and (x − 5)° are complementary angles, find x.