Question

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​ (4x−13)° ​ B 15° C (x+18)∘ What is the measure of ∠A and ∠C ? Enter your answers in the boxes. ​ m∠A= ​ º ​ m∠C= ​ º

Answer 1

Answer:

m∠A = 115°; m∠C = 50°

Step-by-step explanation:

   ∠A    +   ∠B   + ∠C = 180

4x – 13 + 15 + x +  18 = 180     Combine like terms

                    5x + 20 = 180     Subtract 20 from each side

                            5x = 160     Divide each side by 5

                              x =   32

∠A = 4 × 32 – 13

    = 128 – 13

     = 115°

∠ C = 32 + 18

      = 50°

Check:

115 + 15 + 50 = 180

              180 = 180