asked 77.4k views
5 votes
Is an isosceles triangle the base angles are equal to 50 the vertex angle is?

asked
User Jolta
by
8.7k points

2 Answers

4 votes

Answer:

x = 80°

Explanation:

If an isosceles triangle has base angles of equal measure, say 50 degrees, then we can find the measure of the vertex angle by using the sum of the angles in a triangle is always 180 degrees.

Let x be the measure of the vertex angle. Since the isosceles triangle has two equal base angles of 50 degrees, we have:

50 + 50 + x = 180

Simplifying the left side, we get:

100 + x = 180

Subtracting 100 from both sides, we get:

x = 80

Therefore, the measure of the vertex angle in this isosceles triangle is 80 degrees.

answered
User Gaurav Ram
by
7.9k points
3 votes

Answer:

80°

Explanation:

You want to know the vertex angle of an isosceles triangle with base angles of 50°.

Angle sum

The sum of angles in a triangle is 180°. If two of the angles are 50°, the third will be ...

vertex angle = 180° -50° -50° = 80°

The vertex angle is 80°.

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answered
User Dmitrii Naumov
by
8.1k points

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