Angle Sum Property of a Triangle

Q. The given angles are the three interior angles of a triangle. What is the sum of the three angles?

1. 90°
2. 180°
3. 270°
4. 360°

Q. The given triangle is a scalene triangle. What is the sum of the interior angles of the triangle?

1. 90°
2. 100°
3. 180°
4. 280°

Q. According to the angle sum property of a triangle, the sum of the _____ of a triangle is 180°.

1. three exterior angles
2. three interior angles
3. two interior angles and an exterior angle
4. two exterior angles and an interior angle

Q.

The measures of two angles of a triangle are
given. Find the measure of the third angle.

(i) 90°, 40°

Q. Acute angle is an angle which is less than ${90}^{\circ }$ and an obtuse angle is any angle which is greater than ${90}^{\circ }$.

1. False
2. True

Q. The sum of the three interior angles of a triangle is:

1. 90°
2. 60°
3. 360°
4. 180°

Q. Mayor Modulus needs to build a right triangle shaped playground. Which of the following sets of interior angles can form a triangle?

$A.{45}^{\circ },{35}^{\circ },{90}^{\circ }$
$B.{60}^{\circ },{60}^{\circ },{60}^{\circ }$
$C.{70}^{\circ },{90}^{\circ },{20}^{\circ }$

1. A
2. B
3. C

Q. If the angles of a triangle are in the ratio of $2:3:4$, then the difference of the measure of greatest angle and smallest angle is

1. ${20}^{\circ }$
2. ${30}^{\circ }$
3. ${50}^{\circ }$
4. ${40}^{\circ }$

Q. Derek, Ben, and Nate are stargazing. They spot three bright stars that form a triangle.
They find the approximate angles of the two sides of the triangle to be 98° and 36° but argue over the third angle.
Derek thinks the third angle is 54°, Ben thinks it's 78°, while Nate thinks it's 46°.
Who is correct?

1. Derek
2. Nate
3. Ben
4. None of them