math

posted by .

The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b. What are the measures of the three angles?
angle a is __degrees.

  • math -

    a+b+c = 180
    b = a
    c = a+78

    so,
    a + a + a+78 = 180
    3a = 102
    a = 34

    so, b=34 and c=112

  • math -

    The sum of the angles of a triangle is 180 degrees. In the figure below angle B and angle C are the same size. If angle A is 54 degrees smaller than angle B. Find the measure of each angle.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not= 60 degrees Plan: use indirect proof Assume temporarily that Measure angle A = 60. Then measure angle C=60, and measure angles A+B+C=180= 60+B+60=180. Therefore the …
  2. algebra.

    problems about angles: Hi. I needed help on some problems for the math section that we are doing in class. I am trying out some problems in my math book, but they prove quite difficult. 1. In a certain parallelogram, if the measure …
  3. math

    The sum of the measures of the three angles of any triangle is 180°. In the illustration, the measure of 2 (angle 2) is 7° larger than the measure of 1. The measure of 3 is 31° larger than the measure of 2. Find each angle measure.
  4. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct?
  5. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct?
  6. College Math

    In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] …
  7. math

    in a triangle, the measure of the first angle is twice the measure of the second.the measure of a third triangle is 64 degrees more than athe measure of the second angle. Use the facts that the sum of the measures of the three angles …
  8. cwi

    The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, the measure of angle A is 70° more than the measure of angle B. The measure of angle B is twice the measure of angle C. Find the measure of each …
  9. math

    Plz explain to me how to do this : The angles of an equilateral triangle are congruent. If x represents the measure of one angle of an equilateral triangle which equation represents the sum of the angle measures of the triangle A. …
  10. algebra

    Two angles of a triangle have the same measure. The measure of the third angle is 4° less than twice the measure of each of the equal angles. Given that the sum of the three angles of a triangle is always 180°, find each of the three …

More Similar Questions