# Geometry

find the measure of each angle of an isosceles trapezoid if two of the angles has measures in the ratio of 2:3.

1. 👍
2. 👎
3. 👁
1. the sum of the 4 angles is 360°
But they come in equal pairs.
let the larger be 3x and the smaller be 2x
3x + 2x = 180
x = 36

so the angles are 72° and 108°

check: 72:108 = 2:3
72+72+108+108 = 360

1. 👍
2. 👎
2. thank you reiny

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. ### Geometry

An exterior angle of an isosceles triangle has measure 150°. Find two possible sets of measures for the angles of the triangle. If the exterior angle of the bases is 150°​, then the measure of the angle of each base is _° and

3. ### Math

1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer

4. ### math

1. Which angles are adjacent angles? (1 point) ∠GBM and ∠FBC ∠CBX and ∠FBC ∠XBG and ∠FBC ∠MBY and ∠FBC 2. The measure of ∠3 is 101°. Find the measure of ∠1. (1 point) 101° 106° 74° 79° 3. Is line l

1. ### Geometry math

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

2. ### math

An isosceles, obtuse triangle has one angle with a degree measure that is 50% larger than the measure of a right angle. What is the measure, in degrees, of one of the two smallest angles in the triangle? Express your answer as a

3. ### geometry

An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.

4. ### ALGEBRA 1

If x and 3x-10 represent the measure of the acute angles of a right tringle find the value of x. THANKS Let's take it step by step. A triangle has 3 angles in it. Those three angles, when added together, is 180. In a right

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. ### Geometry 12

What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42° and its congruent sides each measure 9 cm? Please express your answer as a number only.

3. ### geometry

DEFG is an isosceles trapezoid. Find the measure of

4. ### algebra

Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles: What is the measure of the smaller angle? What is the measure of the other angle?