In the BOP triangle, angle B = 60 degrees, angle O = 75 degrees. Find the degree measure of the angle P. Beam AB divides the right

| February 22, 2021 | education

In the BOP triangle, angle B = 60 degrees, angle O = 75 degrees. Find the degree measure of the angle P. Beam AB divides the right angle CAE into two angles so that the angle BAE is 0.4 of the CAE angle. Find the degree measure of the angle CAB.

1) The sum of the angles in any triangle is 180 °, therefore, to calculate the degree measure of the third angle, you need to subtract the sum of the other two angles from 180 °:

180 ° – (B + O) = 180 ° – (60 ° + 75 °) = 180 ° – 135 ° = 45 °.

Answer: angle P is 45 °.

2) To find the fraction of a number, you need to multiply the fraction by the number. The BAE angle is 0.4 of the CAE angle, so the degree measure of the BAE angle is 0.4 of 90 °.

90 ° * 0.4 = 36 ° is the BAE angle.

Since the angle CAE is equal to the sum of the angles BAE and CAB, in order to find the angle CAB, you need to subtract the value of the angle BAE from 90 °.

CAB = CAE – BAE = 90 ° – 36 ° = 54 °.

Answer: The CAB angle is 54 °.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.