Refer to the attached image.
Given:
The measure of
and
.
Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.
To Prove:
is a right angle.
Proof:
Statements Reasons
1.
Given
2.
Given
3.
The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.
4.
Substitution property of equality
5.
Simplification
6.
JML is a right angle. Definition of right angle
Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so 
Answer:

Step-by-step explanation:
We first translate the statement into an equation:

Then we simplify:

Tenth place is the first place after the decimal which is 4.999
^
The answer is 4.9