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sladkih [1.3K]
3 years ago
6

Pls tell urgentpls ​

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

x = 30°

y = 115°

Step-by-step explanation:

Given = AB ║ DC

            ∠A = 2x + 10

            ∠B = 65

            ∠C = y

            ∠D = 3x + 20

( AD is the transversal on the parallel lines AB and DC)

∴ ∠A + ∠D = 180       and         ∠B + ∠C = 180

 (1)          ∠A + ∠D = 180

              2x + 10 + 3x + 20 = 180

              5x + 30 = 180

              5x = 180 - 30 = 150

                x = 150÷5

                x = 30°

(2)           ∠B + ∠C = 180

               65 + y = 180

                 y = 180 - 65 = 115

                 y = 115°

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