Identifying an Unknown Angle of a Triangle

Q. Select the correct set of angles that can form a triangle.

1. ${44}^o$, ${44}^o$, and ${112}^o$
2. ${65}^o$, ${85}^o$, and ${45}^o$
3. ${45}^o$, ${45}^o$, and ${90}^o$
4. None of the above

Q.

How many triangles can be drawn having its angles as$45°,64°$ and $72°$? Give reason for your answer.

Q. Due to heavy rain, a tree has fallen as shown. Find the angle made by the tree with the ground.

1. ${45}^o$
2. ${35}^o$
3. ${55}^o$
4. ${65}^o$

Q.

What is the sum of all angles of a triangle? $180°$

Q. In the given isosceles triangle, find angle M if it is given that sides MN and MO have equal lengths.

1. 80°
2. 110°
3. 60°
4. 120°

Q. If the sum of two angles of a triangle is 123°, find the third angle.

1. ${75}^o$
2. ${57}^o$
3. ${67}^o$
4. ${76}^o$

Q. In a triangle ABC, m∠A = 124° and
m∠B = 24°. Find the measure of ∠C.

1. ${62}^o$
2. ${32}^o$
3. ${52}^o$
4. ${22}^o$

Q. The sum of two angles of a triangle is 155°. Find the value of the third angle.

1. ${155}^o$
2. ${25}^o$
3. ${55}^o$
4. ${35}^o$

Q. Find the missing angle, and name the type of the triangle.

1. 60°; Equilateral triangle
2. 60°; Isosceles triangle
3. 60°; Scalene triangle
4. None of the above

Q. In the given isosceles triangle, find angle M if it is given that sides MN and MO have equal lengths.

1. ${110}^o$
2. ${70}^o$
3. ${80}^o$
4. ${120}^o$

Q. Find the missing angle of the triangle:
${110}^{\circ },{55}^{\circ }$,

1. ${15}^{\circ }$
2. ${25}^{\circ }$
3. ${20}^{\circ }$

Q. If two angles of a triangle are ${23}^{\circ }\&{32}^{\circ }$, what type of a triangle is it?

1. Obtuse triangle
2. Acute triangle
3. Right triangle

Q. The given triangle is right angled at B. Find m∠A.

1. ${45}^{\circ }$
2. ${35}^{\circ }$
3. ${60}^{\circ }$
4. ${55}^{\circ }$

Q. One angle of a triangle is ${40}^{\circ }$ and the other two angles have equal measures. Measure of each equal angle will be degree.

Q. Find out the value of ∠BAC.

1. ${60}^o$
2. ${120}^o$
3. ${90}^o$
4. None of the above

Q. Find the missing angle(in degree) in the triangle ABC.

1. 52

Q. For the given isosceles triangle, find $\angle B.$

1. ${60}^o$
2. ${59}^o$
3. ${58}^o$
4. ${57}^o$

Q.

An exterior angle of a triangle is $110°$, and one of the interior opposite angle is $30°$. Find the other two angles of the triangle.

1. $80°$ and $20°$

2. $70°$ and $40°$

3. $20°$ and $70°$

4. $80°$ and $70°$

Q.

Find the sum of $\angle 1+\angle 2+\angle 3+\angle 4+\angle 5+\angle 6+\angle 7+\angle 8+\angle 9$