155k views
8 votes
Two supplementary angles differ by 34. Find the angles.​

User Poige
by
8.4k points

2 Answers

3 votes

Answer:

73° and 107°

Explanation:

Mark one of the angles as x

then the other angle is (x + 34)

Two angles are called supplementary when their measures add up to 180 degrees.

So the sum of those angles is always 180°

x + (x + 34) = 180

2x + 34 = 180

2x = 180 - 34

2x = 146

// divide both sides by 2

x = 73°

Now find the other angle

x + 34 = 73 + 34 = 107°

User Greenleaf
by
8.3k points
7 votes

Answer:

x=107,y=73 is ur answer

Explanation:

let two angles be x & y

x-y=34(given)

x=34+y................1

x+y=180(supplementary)

putting the value of x

34+y+y=180

2y=180-34

y=146/2=73

:.y=73

putting the value of y in equation 1

x=34+73=107

:.x=107

User Jbrookover
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories