The measure of two supplementary angles differ by 20 degrees then the measure of the acute angle among them is what?
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Answered by
69
x +(x-20)=180
x+x=180+20
2x=200
x=100
(x-20)=100-20=80
x+x=180+20
2x=200
x=100
(x-20)=100-20=80
Answered by
22
#hey there !!
let /_a = x °
so according to question /_b = (x+20)°
now , we know that , sum of two supplementary angles =180°
====> /_ a + /_b = 180°
=> x + (x+20) =180
=> 2x +20 = 180
=> 2x = 160
=> x = 80°
therefore, measure of each acute is :
===> /_a = x = 80°
♦ Acute angle is greater than 0 but less than 90... so we get only one..
another angje /_b = x+20 = 100°
♦ which is not acute ..it is obtuse.
______________________________
⭐Hope it will help you!
let /_a = x °
so according to question /_b = (x+20)°
now , we know that , sum of two supplementary angles =180°
====> /_ a + /_b = 180°
=> x + (x+20) =180
=> 2x +20 = 180
=> 2x = 160
=> x = 80°
therefore, measure of each acute is :
===> /_a = x = 80°
♦ Acute angle is greater than 0 but less than 90... so we get only one..
another angje /_b = x+20 = 100°
♦ which is not acute ..it is obtuse.
______________________________
⭐Hope it will help you!
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