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

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Question: If two angles of a triangle are 30 degrees and 70 degrees, what type of triangle is it?

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 type of triangle is it?

If two angles of a triangle are 30 degrees and 70 degrees, what type of triangle is it?

Step 1: Identify the angles given in the triangle. The angles are 30 degrees and 70 degrees.
Step 2: Calculate the third angle of the triangle. Since the sum of all angles in a triangle is 180 degrees, subtract the sum of the two given angles from 180. So, 180 - (30 + 70) = 80 degrees.
Step 3: Now we have all three angles: 30 degrees, 70 degrees, and 80 degrees.
Step 4: Check if all angles are less than 90 degrees. Since 30 < 90, 70 < 90, and 80 < 90, all angles are less than 90 degrees.
Step 5: Since all angles 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 – Triangles can be classified as acute, right, or obtuse based on their angles.