Question

Сколько градусов содержит угол AOB, если:1)5/12 от угла AOB содержит 150°;2)75% от угла AOB содержит 270°?

Answer 1

150:5/12=360 град
270:0,75=360 град
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Answer 2

Calculation of Angle AOB

To find the measure of angle AOB, we are given two conditions:

1) 5/12 of the angle AOB contains 150°. 2) 75% of the angle AOB contains 270°.

Let's solve each condition separately:

1) 5/12 of the angle AOB contains 150°: To find the measure of angle AOB, we can set up the equation: (5/12) * AOB = 150°

To solve for AOB, we can multiply both sides of the equation by (12/5): AOB = (150° * 12/5) AOB = 360°

Therefore, the measure of angle AOB is 360°.

2) 75% of the angle AOB contains 270°: To find the measure of angle AOB, we can set up the equation: (75/100) * AOB = 270°

To solve for AOB, we can multiply both sides of the equation by (100/75): AOB = (270° * 100/75) AOB = 360°

Therefore, the measure of angle AOB is 360°.

In both conditions, the measure of angle AOB is 360°.