Question

if 3x+1o and 4x-5 are the angles of a linear pair, find their measurement

Answer 1

It is known that the angles of a linear pair add up to 180°.

The given linear pair has (3x+10)° and (4x-5)° as its constituent angles.

Thus, (3x+10)° + (4x-5)° = 180°

=> 7x°+10°-5°=180°

=> 7x°+5°=180°

=> 7x°=180°-5°=175°

=> x°=175°/7°=25°

Thus, the two angles are:-

(3x+10)°=(3×25+10)°=(75+10)°=85°

(4x-5)°=(4×25-5)°=(100-5)°=95°

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Answer 2

Answer:

75 and 95

Step-by-step explanation:

(3x+10)+4x-5=180

7x+5=180

7x=175

x=175/7=25

so 3(25)+10=75

4(25)-5=95

hope it helps you