Question

Find the measure of the angle shown in each figure.
(First, estimate with your eyes and then find the actual measurements with a protractor).

Answer 1

Hey there !

Solution:

According to the given attachment, the following angles can be estimated by the help of visualising the protractor given in the answer's attachment.

1 ) It tends to be half of a right angle and hence it can be assumed to be 45°.

2) The second one forms an obtuse angle. The supplement of it tends to be 60°. Due to this we can say that the angle is 180° - 60° which is 120°.

3) The third one seems to be double of 30°. Hence we can assume it to be

2 ( 30 ) = 60°.

4) The fourth one seems to have a supplement of 45°. Hence it can be estimated to be 180° - 45° = 135°.

So the angles are: 45°, 60°, 120°, 135°.

Hope my answer helped !

Answer 2

By Estimation :
___________

i ) angle a = acute angle

( 0° < a < 90° )

ii ) <b = obtuse angle

( 90° < b < 180° )

iii ) <c = acute angle

( 0° < c < 90° )

iv ) <d = obtuse angle

( 90° < d < 180°)

_________________________

Actual angle by measuring protractor:

[ From attachment ( ii ) ]
i ) <a = 40°

ii ) <b = 130°

iii ) <c = 65°

iv ) <d = 135°

I hope this helps you.

: )