What will be the measure of the supplement of each one of the following angles
a) 105°. b) 60°
Please explain step by step
Answers
Answer:
105+x= 180
x= 180-105
=85
60+x=180
x=180-60
=120
Step-by-step explanation:
Hope you got the answer please mark me as brainlist
Answer :
›»› The measure of supplement angle of 105° will be 75°.
Given :
- 105°.
To Find :
- The measure of the supplement.
Solution :
(a) The given angle measure 105°.
Let us assume that, the measure of it's supplement angle is "x°".
As we know that
The sum of two angles of suppliment angle is 180°.
→ 105 + x = 180
→ x = 180 - 105
→ x = 75
Hence, the measure of supplement angle of 105° will be 75°.
Answer :
›»› The measure of complement angle of 60° will be 120°.
Given :
- 60°.
To Find :
- The measure of the supplement.
Solution :
(b) The given angle measure 60°.
Let us assume that, the measure of it's supplement angle is "x°".
As we know that
The sum of two angles of suppliment angle is 180°.
→ 60 + x = 180
→ x = 180 - 60
→ x = 120
Hence, the measure of supplement angle of 60° will be 120°.
_____________...
Verification :
(a) The given angle measure 105°.
The sum of two angles of suppliment angle is 180°.
→ 105 + 75 = 180
→ 180 = 180
Here, LHS = RHS
Here both the conditions satisfy, so our answer is correct.
(b) The given angle measure 60°.
The sum of two angles of suppliment angle is 180°.
→ 60 + 120 = 180
→ 180 = 180
Here, LHS = RHS
Here both the conditions satisfy, so our answer is correct.