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3 years ago

Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles

Mathematics

1 answer:

Sholpan [36]3 years ago

6 0

Answer:

The angles are 63 , 97

Step-by-step explanation:

Let one angle be x

As sum of two angles is 160, the other angle = 160 - x

Their difference = 34

x - [160- x] = 34

Use distributive property to remove the brackets

x - 160 + x = 34

Add like terms

x + x - 160 = 34

2x - 160 = 34

Add 160 to both sides

2x = 34 + 160

2x = 194

Divide both sides by 2

2x/2 = 194/2

x = 97°

One angle = 97°

Other angle = 160 - 97 = 63°

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Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles​

Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles