Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles. ​

100

Step-by-step explanation:

I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance

The two angles are 31° and 149°

Step-by-step explanation:

Let the two supplementary angles be , x and y.

         Then, x + y = 180° ( 1 )

Given :  one is 25° more than 4 times other

           Let y = 25° + 4x ( 2 )

Substitute ( 2 ) in  ( 1 ) :

     x + y = 180°

     x + 25° +4x = 180°

     x + 4x = 180° - 25°

           5x = 155°

             x = 31°

Substitute x in ( 2 ) :

            y = 25° + 4x

               = 25 + 4 ( 31 )

               = 25 + 124

               = 149°

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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step-by-step explanation: