# math

an isosceles triangle is such that the vertical angle is four times the size of a base angle.what is the size of a base angle

1. 👍
2. 👎
3. 👁
1. The sum of the angles of a triangle is 180 degrees. Yours is an isosceles triangle, and the vertical angle is four times the size of a base angle - so you've got two base angles, plus four more base angles in the vertical angle. That's six base angles in total, which means that each base angle must be 30 degrees. Check it: the vertical angle is four times a base angle, so the vertical angle is 120 degrees. 120 + 30 + 30 = 180.

1. 👍
2. 👎
2. four angles are put together, forming a straight angle. two of the angles are the same size. the other two angles are also the same size but different from the other two. If one of the angles is 40 degrees, what are the measures of the other three? please explain

1. 👍
2. 👎

## Similar Questions

1. ### math

1. What is the correct classification for the triangle shown below? A triangle has two angles measuring 68 degrees and 22 degrees. (1 point) acute, scalene acute, isosceles --- right, scalene obtuse, scalene 2. What is the value

2. ### math

An isosceles triangle has a base of 20 cm. The vertex angle is 82 . Find the length of Each of the two equal sides of the triangle.

3. ### geometry

The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle.

4. ### Calculus

An isosceles triangle has a vertex at the origin. Determine the area of the largest such triangle that is bound by the function x^2 + 6y = 48. So, y=8 when x=0 making a vertical side equal to 8. I also determined that there is a

1. ### Mathematics

Calculate the vertical angle of an isosceles triangle if one of its base angles is 48°

2. ### Geometry math

1: what is the correct classification for the triangle shown below? 1:acute, scalene

Which of the statements is ALWAYS TRUE? A-A right triangle is a scalene triangle. B-An equilateral triangle is an isosceles triangle. C-An isosceles triangle is an obtuse triangle. D-A right triangle is an acute triangle. I got

4. ### geometry

The measure of an exterior angle of an isosceles triangle is x degrees. What are the possible angle measures of the triangle in terms of x? Describe all the possible values of x.

1. ### algebra

The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 45​° more than three times nbsp the

2. ### Math

Can someone please check to see if I answered these true and false statements correctly? Thank you! 1. A triangle can have two right angles. (TRUE??) 2. An equilateral triangle is also an acute. (TRUE??) 3. A right triangle can

3. ### Geometry Question (multiple choice)!

The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse angle? 73°; 107° 34°; 146° 73°; 146° 34°; 107° Thank you =) :) ;)

4. ### Maths

If R is the set of isosceles right angle traingles and I is set of isosceles triangle, then (a) R=I (b) RƆI (c)RCI (d) none of the above.