If two angles of a triangle are 30 degrees and 70 degrees, what is the type of t

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Question: If two angles of a triangle are 30 degrees and 70 degrees, what is the type of triangle based on its angles?

Options:

Correct Answer: Acute

Solution:

Since all angles are less than 90 degrees, the triangle is acute.

If two angles of a triangle are 30 degrees and 70 degrees, what is the type of triangle based on its angles?

If two angles of a triangle are 30 degrees and 70 degrees, what is the type of triangle based on its angles?

Step 1: Identify the given angles of the triangle. The angles are 30 degrees and 70 degrees.
Step 2: Calculate the third angle of the triangle. The sum of all angles in a triangle is 180 degrees. So, the third angle is 180 - (30 + 70).
Step 3: Perform the calculation: 30 + 70 = 100 degrees. Then, 180 - 100 = 80 degrees. The third angle is 80 degrees.
Step 4: Check the measures of all three angles: 30 degrees, 70 degrees, and 80 degrees.
Step 5: Determine the type of triangle based on the angles. Since all angles (30, 70, and 80 degrees) are less than 90 degrees, the triangle is classified as an acute triangle.

Triangle Angle Sum – The sum of the angles in a triangle is always 180 degrees.
Types of Triangles by Angles – Triangles can be classified as acute, right, or obtuse based on their angle measures.