Given that the angles 5p° and(3p°-20) are supplementary, find the value of p.....spam will be reported ASAP....✌
Answers
Answered by
14
Answer:
p= 25°
Step-by-step explanation:
5p°+(3p°-20) = 180° [Supplementary angles]
5p°+ 3p°- 20° = 180°
8p° = 180° + 20°
8p° = 200°
p = 200/8
p = 25°
Hope it helps you
Answered by
0
The value of p is 25.
Given:
The angles 5p° and (3p-20)° are supplementary.
To Find:
The value of p.
Solution:
To solve this problem we will use the concept of supplementary angles. Two angles are said to be supplementary if the sum of their measures equals 180°.
Hence, if x and y are supplementary angles, then:
∠x + ∠y = 180°.
We are given that the angles 5p° and (3p-20)° are supplementary.
⇒ 5p° + (3p-20)° = 180
⇒ 8p - 20 = 180
⇒ 8p = 200
⇒ p = 25.
So, the angles are:
5p = 5(25) = 125°
(3p-20)° = 3(25)-20 = 55
∴ The value of p is 25.
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