geometry

posted by .

in triangle PQR,line segment PQ is = and congruent to line segment QR. if m<p = 4x + 50, m<Q =2x + 60 and m<R = 14x + 30, find the measure of each angle.

  • geometry -

    You have conflicting information.

    First of all, the 3 angles must add up to 180°, so
    4x+50 + 2x+60 + 14x + 30 = 180
    20x = 40
    x = 2
    and the 3 angles would be 58°, 64° , and 42°.

    BUT, in the first sentence you said that PQ = QR, making it isosceles.

    Contradiction!
    Two of the angles would have to be equal.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Given: line segment AD is congruent to line segment CD, <1 is congruent to <2 Prove: triangle ADB is congruent to triangle CDB
  2. geometry

    given: segment AB is paralell to segment DC; segment AB is congruent to segment to DC prove: triangle ABC is congruent to triangle CDA statements: 1. segment AB is congruent to segment DC 2.segment AC is congruent to segment AC 3.segment …
  3. geometry

    A triangle is formed where line segment AC and line segment BC have the same length. If the measure of angle ACB = 81 degrees, find the measures of angles x and y so that the top horizontal line will be parallel to the bottom horizontal …
  4. Geometry

    Yes, I'm this desperate. I just have problems with coming up with the statements for two column proofs. Answers would be appreciated. Given: line segment AX congruent to line segment DX, line segment XB is congruent to XC. Prove: Line …
  5. geometry

    How would the triangle look if angle Q is congruent to angle T and line segment PQ is congruent to line segment ST?
  6. geometry

    Prove that you have constructed point C on segment EF such that angle ACE is congruent to angle BCF. (Points A and B are on the same side of segment EF, but have different distances to the segment.) I am not sure if I am on the right …
  7. Geometry

    Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK is 11, line segment KN is x-4, line segment NM is 5.4, and line segment LM is 2x + 1.3 (there is a drawing of this triangle) Thanks.
  8. Geometry-8th gr

    Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK is 11, line segment KN is x-4, line segment NM is 5.4, and line segment LM is 2x + 1.3 (there is a drawing of this triangle) Thanks.
  9. Geometry

    In an isosceles triangle, line segment AC is congruent to line segment AB. Find the value of y in terms of x if one of the remote interior angle is y and the exterior angle is 3x+20. I think the answer is y=6x-140 but I don't know …
  10. Geometry

    Help! I'm so confused :( 1. Supply the missing reasons to complete the proof. Given: angle Q is congruent to angle T and line QR is congruent to line TR Prove: line PR is congruent to line SR Statement | Proof 1. angle Q is congruent| …

More Similar Questions