Sum of Angles of a Triangle

Q.

A triangle is a polygon with __ sides.

1. 0

2. infinite

3. 3

4. 4

Q.

Consider a triangle, rectangle and pentagon. What is the sum of the sides of these 3 polygons.

Q.

How many diagonals are there in a triangle?

1. 1

2. zero

3. 2

4. 3

Q.

The sum of all the exterior angles of a triangle is ___ (in degrees)​.

Q.

How many diagonals are there in a triangle?

1. zero

2. 1

3. 2

4. 3

Q.

Angles of a triangle are $(x+{10}^{\circ }),(x+{40}^{\circ })$, and $(2x-{30}^{\circ })$. The value of x is ___ degrees.

Q.

Consider the figure:

If $\angle$B = ${50}^{\circ }$, $\angle$ACD = ${120}^{\circ }$, and x = 2y, then find the value of $\angle$A (in degrees).

___

Q.

In the given figure, $\Delta ABC$ is an isosceles triangle with $\angle A={40}^0$ and AB = AC. The measure of the remaining angles is

1. ${70}^0$ Each

2. ${70}^0,{60}^0$

3. ${60}^0$ Each

4. ${50}^0,{40}^0$

Q.

Consider the figure:

If $\angle$B = ${50}^{\circ }$, $\angle$ACD = ${120}^{\circ }$, and x = 2y, then find the value of $\angle$A (in degrees).

___

Q. ABC is a right-angled triangle and O is the mid ​
point of the side opposite to the right angle. ​
Prove that O is equidistant from A, B and C.

Q. The value of x in the above Fig. is

1. ${30}^{\circ }$
2. ${45}^{\circ }$
3. none of these
4. ${60}^{\circ }$