amay1977 amay1977

21-05-2019
Mathematics

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jimrgrant1 jimrgrant1

21-05-2019

Answer:

62°

Step-by-step explanation:

The 2 shown angles form a straight angle and sum to 180°, that is

7x + 20 + 4x + 6 = 180

11x + 26 = 180 ( subtract 26 from both sides )

11x = 154 ( divide both sides by 11 )

x = 14

the acute angle = 4x + 6 = (4 × 14) + 6 = 56 + 6 = 62°

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