thejoyofknowledge
thejoyofknowledge thejoyofknowledge
  • 24-06-2021
  • Mathematics
contestada


10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than
twice the first angle Find each angle.

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mewtoreks
mewtoreks mewtoreks
  • 27-06-2021

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

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