Question

Two angles are a linear pair. Their measures are represented by x+10, and 3x+10. What are the measures of the angles? 

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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given,

one angle is x + 10

another angle is 3x + 10

Now, x + 10 and 3x + 10 ar linear pair

Therefore,

(x + 10)+( 3x + 10) = 180⁰

=> 4x + 20 = 180⁰

=> 4x = 180⁰ - 20

=> 4x = 160⁰

=> x = 160⁰/4

=> x= 40⁰

Hence, one angle is x + 10 = 40⁰ + 10 = 50⁰

another angle is 3x + 10 = (3 × 40⁰) + 10 =120⁰ + 10 = 130⁰

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