A Tale of Three Intersecting Lines Class 7 Very Short Question Answer

A Tale of Three Intersecting Lines Class 7 Very Short Question Answer

A Tale of Three Intersecting Lines Class 7 Very Short Question Answer

Question 1.

Can a triangle have two right angles?

Solution:

No. Because if its two angles are right angles, then their sum = 90° + 90° = 180° and hence the third angle will be 0°, which is not possible.

Question 2.

In a right triangle, if one angle is 35°, then find the third angle.

Solution:

Third angle = 180° - 90° - 35° = 55°.

Question 3.

Each of the two equal angles of an isosceles triangle is four times the third angle. Find the angles of the triangle.

Solution:

If equal angles are 4x each, then third angle is x. So, 4x + 4x + x = 180°.

Or 9x = 180°, or x = [latex]\frac{180^{\circ}}{9}[/latex] = 20°.

Thus, angles are 20°, 80° and 80°.

Question 4.

If an exterior angle of a triangle is 120°, find its adjacent angle.

Solution:

Adjacent angle = 180° - 120° = 60°.

Question 5.

In the given figure, find the value of x.

Solution:

x + 70° = 110°

So, x = 110° - 70° = 40°.