If angle 1=75 then find the measurements of angle 2,3,6,7,8
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Answer:
2=105
3=75
4=105
5=75
6=105
7=105
8=75
Step-by-step explanation:
very easy and interesting question
Answer
Explanation
Given
✭ ∠1 = 75°
To Find
◈ The value of,
Solution
So here we see that the two lines G & H are parallel to each other so which means we may have a lot of combinations as follows,
[From these rules we may derive the needed values]
Finding ∠2
➝ ∠1 + ∠2 = 180°
[Adjacent angles]
➝ 75° + ∠2 = 180°
➝ ∠2 = 180° - 75
➝ ∠2 = 105°
Finding ∠3
➝ ∠1 = ∠3
[Vertically Opposite]
➝ ∠3 = 75°
Finding ∠6
➝ ∠3 + ∠6 = 180°
[Co-interior angle]
➝ 75° + ∠6 = 180°
➝ ∠6 = 180°-75°
➝ ∠6 = 105°
Finding ∠7
➝ ∠6 = ∠7
[Vertically Opposite]
➝ ∠7 = 105°
Finding ∠8
➝ ∠6 + ∠8 = 180°
[Linear Pair]
➝ 105° + ∠8 = 180°
➝ ∠8 = 180°-105°
➝ ∠8 = 95°