Properties of Isosceles and Equilateral Triangles

Q. Find the value of x in the following figure:

1. ${106}^{\circ }$
2. ${56}^{\circ }$
3. ${26}^{\circ }$
4. ${46}^{\circ }$

Q. In an isosceles triangle, the vertex angle is 80° and the sides containing the vertex angle are equal. Find the measure of the base angles.

Q. Among the following options, the sides of a right-angled triangle that have the hypotenuse of rational value is .

1. 5 and 13
2. 3 and 5
3. 6 and 8
4. 24 and 25

Q. ABCD and MNOP are two rectangles. How many statements on the right side are correct regarding the rectangles?

1. 4

Q. Among the following options, the sides of a right-angled triangle that have the hypotenuse of rational value is .

1. 5 and 13
2. 3 and 5
3. 6 and 8
4. 24 and 25

Q. The mid point of the base of a triangle is equidistant from all the vertices. The triangle is

1. equilateral
2. right angled
3. isosceles
4. ordinary