Question

these r very easy questions, so answer fast with full details.

Answer 1

1.

(a) By measuring it with a protractor, we find that the angle's value is 45 degrees.

(b) 90 degrees.

(c) 120 degrees.

(d) 45 degrees.

Since (a) and (d) = 45 degrees, their angles are congruent.

2. Yes, they are equal.

Since angle POQ = angle ROS, let's call them angle x.

Let's call angle QOR as angle y.

angle ROS + angle QOR = angle x + angle y.            ...(1)

angle POQ + angle QOR = angle x + angle y.           ...(2)

From (1) and (2),

angle ROS + angle QOR = angle POQ + QOR

angle SOQ = angle POR

Hence proven.