# algebra

posted by .

the three angles of a triangle are 3x,x+10, and 2x-40. Find the size of the smallest angle in a triangle

• algebra -

recall that the sum of the interior angles of any triangle is 180 degrees,, thus:
3x + (x+10) + (2x-40) = 180
6x - 30 = 180
6x = 210
x = 35
therefore, the angles are:
3x = 3(35) = 105
x+10 = 35+10 = 45
2x-40 = 2(35)-40 = 30
..and the smallest angle is 30 degrees

so there,, :)

## Similar Questions

1. ### Algebra

In a triangle ABC, angle B is three times angle A and angle C is 5 degrees less than 6 times angle A. Find the size of the angles.
2. ### Honors Geometry

In a proof, I am given that Triangle GCF is congruent to Triangle GKF is congruent to Triangle JHM. Triangle GCF and Triangle GKF are Vertical Angles. I am also given that Angle C(on Triangle GCF) is 4y, and Angle G(on Triangle GKF) …
3. ### math

The sum of the 3 angles of a triangle is 180 degrees. In triangle PQR, the largest angle is twice the size of the smallest angle. The remaining angle is 16 degrees larger than the smallest. Write and solve an equation to find the size …
4. ### Geometery

For triangle MNP, find the value of x and the measure of each of the three angles. at the top of the triangle is X degrees and that is angle M at the bottom left of the triangle is (2x-1) degrees and that is angle P at the bottom right …
5. ### math

One interior angle of a triangle has a measure that is equal to the sum of the measures of the other two angles of the triangle. What is the measure of the smallest exterior angle of the triangle in degrees?
6. ### MATH

The ratio of two angles of a triangle is 3:2.The remaining angle is the smallest which is half the largest angle of the triangle. What is the measure of smaller angle of a parallelogram if sum of both smaller angles of the triangle …
7. ### Math

One angle of a triangle is 45* greater than the smallest angle, and the third angle is 5* less than twice the smallest angle. Find the measures of the three angles.
8. ### algebra

The angles in a triangle are such that the measure of one angle is 10° more than the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three …
9. ### Math algebra

The sum of the measures of the angles of a triangle is 180° Find the three angles of a triangle if one angle is 20° greater than the smallest angle and the third angle is twice the smallest angle.