Question

If angle qos equals 50, angle pqr equals 58, angle poq equals 21, then what is angle ROS

Answer 1

To determine the measure of angle ROS, we need to subtract the given angles from 180 degrees, since the sum of the angles in a triangle is equal to 180 degrees.

First, let's find the measure of angle RPQ:

angle RPQ = 180 - (angle POQ + angle PQR)

angle RPQ = 180 - (21 + 58)

angle RPQ = 180 - 79

angle RPQ = 101 degrees

Next, let's find the measure of angle ROQ:

angle ROQ = 180 - (angle POQ + angle qos)

angle ROQ = 180 - (21 + 50)

angle ROQ = 180 - 71

angle ROQ = 109 degrees

Finally, to find angle ROS, we subtract the measures of angle RPQ and angle ROQ from 180 degrees:

angle ROS = 180 - (angle RPQ + angle ROQ)

angle ROS = 180 - (101 + 109)

angle ROS = 180 - 210

angle ROS = -30 degrees

It seems that the angle ROS has a negative measure, which is not possible in this context. Please double-check the given angles and make sure they are accurate.