Question

drag a vertex of the triangle to change its shape. double - click or double - tap a vertex or side to prevent it from changing. can you construct a triangle with interior angle measures of 70°, 40°, and 50°? yes, those interior angle measures will create a right triangle. no, those interior angle measures do not add up to 180°. yes, those interior angle measures will create an acute triangle. yes, those interior angle measures will create an isosceles triangle.

Explanation:

Step1: Calculate the sum of angles

The sum of the interior angles of a triangle is \(70^{\circ}+40^{\circ}+50^{\circ}=160^{\circ}
eq180^{\circ}\).

Step2: Analyze each option

• Option1: A right - triangle has one angle equal to \(90^{\circ}\). Since \(70 + 40+50

eq180\), it can't be a right - triangle.

• Option2: The sum of the given angles \(70 + 40+50 = 160

eq180\).

• Option3: An acute - triangle has all angles less than \(90^{\circ}\), but the sum of the given angles is not \(180^{\circ}\).
• Option4: An isosceles triangle has at least two equal angles. The given angles \(70^{\circ}\), \(40^{\circ}\), \(50^{\circ}\) are all different, and their sum is not \(180^{\circ}\).

Answer:

No, those interior angle measures do not add up to \(180^{\circ}\).