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2 years ago

Pls help!!! Find the measure of GPS and NPH.

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

5 0

Answer: gps no nph are both 140

Step-by-step explanation:

So we know that around the center is equal to 360. So (15 + 5x) = (4x + 20) to find what x equals you subtract 4x from each side to get 15 + x = 20 now subtract 15 from both sides to get x = 5. Now we know that x = 5 so the 2 angles are 40 degrees each. Now subtract those two angles from 360 and you get 280. Then divide by two and you get 140. So, now we know those two angles are equal to 140.

Good luck with your school work. Sorry it took so long.

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Hi there!

When two lines intersect, we know that the ones on the opposite sides are equal to one another. Thus, we know that the angle opposite of the one marked with 90 degrees (on the other side of the intersection) is also 90 degrees.

We know that a full turn is 360 degrees. We can see that the two 90 degrees make up part of the turn, and the other pair of angles, both of which are equal to x (as per the reasoning above), make up the rest. We know that the two 90 degrees, added together, is equal to 180 degrees. This means, after subtracting 180 from 360, that 180 degrees are remaining that aren't the 2 90 degrees, and are make up of two angles both measuring x degrees.

As we know that they both measure x, then we know that we say 2x = 180, which gives us x = 90.

Hope this helps!

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