Question

11. A triangle can be constructed by taking two of its angles as:
a. 110° and 40°
b. 70° and 115°
C. 135° and 45°
d. 90° and 90°​

Answer 1

Answer:

a. 110° and 40°

Step-by-step explanation:

because their sum is less than 180°

Answer 2

Given:

a. 110° and 40°

b. 70° and 115°

c. 135° and 45°

d. 90° and 90°​

To Find:

A triangle can be constructed by taking two of its angles as:

Solution:

We know that,

By Angle sum property of a triangle, the sum of three angles is equal to 180°.

So, let the third angle be x.

Now,

In (a)110° and 40°,

110° + 40° +x = 180°

Such a triangle can be constructed.

In b. 70° and 115°,

70° + 115° + x = 180°

Such a triangle cannot be constructed.

In c. 135° and 45°,

135° + 45° + x = 180°

Such a triangle cannot be constructed.

In d. 90° and 90°​,

90° + 90° + x = 180°

Such a triangle cannot be constructed.

Hence, a triangle can be constructed by taking two of its angles as 110° and 40° (option a).