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melamori03 [73]
3 years ago
10

Acellus

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Step-by-step explanation:

<h2>Given:</h2>
  • angle 4 = x + 30
  • angle 2 = 2x + 15

<h2>To find:</h2>
  • the measure of angle 4 is ?

<h2>Solution:</h2>

angle 4 + angle 2 = 180° [corres. ∠s]

=> x + 30 + 2x + 15 = 180°

=> 3x + 30 + 15 = 180°

=> 3x + 45 = 180°

=> 3x = 180° - 45

=> 3x = 135°

=> x = 135°÷3

=> x = 45°

Now, putting the value of x in ∠4 and ∠2.

∠4 = x + 30

∠4 = 45° + 30 => 75°

Hence, the measure of ∠4 is 75°

∠3 = 2x + 15

∠3 = 2(45°) + 15 => 90° + 15 => 105°

Hence, the measure of ∠2 is 105°.

<h3>Hope this helps.</h3>

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