Properties of Isosceles and Equilateral Triangles

Q.

In $△ABC$, $AB=AC$ and $\angle B={40}^{\circ }$. What is the value of $\angle C$?​​​​​​​

1. 6m, equilateral triangle

2. 4 m, Isosceles triangle

3. 6 m, Isosceles triangle

4. 4 m, equilateral triangle

Q. In an isosceles triangle, one angle is ${70}^{\circ }$. The other two angles are of
(i) ${55}^{\circ }$ and ${55}^{\circ }$
(ii) ${70}^{\circ }$ and ${40}^{\circ }$
(iii) ${55}^{\circ }$ and ${40}^{\circ }$
In the given option(s) which of the above statement(s) are true?
(a) (i) only
(b) (ii) only
(c) (iii) only
(d) (i) and (ii)

Q. In an isosceles triangle ABC, AB = AC and BA is produced to D, such that AB = AD. What is the value of $\angle BCD$?

1. ${70}^{\circ }$
2. ${90}^{\circ }$
3. ${60}^{\circ }$
4. ${45}^{\circ }$

Q. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Then which of the following options is correct?

1. $\angle MOC=\angle BAC$
2. $\angle MOC=\angle ABC$
3. $\angle MOC=\angle MBC$
4. $\angle MOC=\angle OCB$

Q. In the adjoining figure the value of x is?

1. ${25}^{\circ }$
2. ${26}^{\circ }$
3. ${28}^{\circ }$
4. ${29}^{\circ }$

Q. In $\Delta ABC,AB=AC,\angle A={40}^{\circ },O$ is a point inside $\Delta ABC$ such that $\angle OBC=\angle OCA$. Find the measure of $\angle BOC.$

1. ${110}^{\circ }$
2. ${35}^{\circ }$
3. ${140}^{\circ }$
4. ${155}^{\circ }$

Q. What is the measure of each interior angle in an equilateral triangle?

1. 30 Degrees
2. 90 Degrees
3. 120 Degrees
4. 60 Degrees

Q. Each angle in an equilateral triangle is .

1. 45${}^{\circ }$
2. 60${}^{\circ }$
3. 75${}^{\circ }$

Q. Match the figures with their respective unknown angles.

1. 80${}^{\circ }$
2. 100${}^{\circ }$
3. 40${}^{\circ }$

Q. In a triangle ABC, $AB=AC$ and $\angle$B = 30${}^{\circ }$. Then value of $\angle A$ is .

1. ${20}^{\circ }$
2. ${30}^{\circ }$
3. ${40}^{\circ }$
4. ${50}^{\circ }$