Advertisements
Advertisements
Question
Which of the following triplets cannot be the angles of a triangle?
Options
67°, 51°, 62°
70°, 83°, 27°
90°, 70°, 20°
40°, 132°, 18°
Advertisements
Solution
40°, 132°, 18°
Explanation:
We know that, the sum of the interior angles of a triangle is 180°.
Now, we will verify the given triplets:
- 67° + 51° + 62° = 180°
- 70° + 83° + 27° = 180°
- 90° + 70° + 20° = 180°
- 40° + 132° + 18° = 190°
Clearly, triplets in 40°, 132°, 18° cannot be the angles of a triangle.
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown exterior angle x in the following diagram:

Find the value of the unknown exterior angle x in the following diagram:

In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.
Using the given figure find the value of x.
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.

The measures of ∠x and ∠y in the following figure are respectively.

The sum of an exterior angle of a triangle and its adjacent angle is always ______.
In the given figure, ∠UQR = ∠______ + ∠ ______

In the given figure, ∠PRS = ∠ ______ + ∠ _______

A triangle has interior opposite angles measuring 50° and 75°. What is the measure of the exterior angle at the third vertex?

