If 127° and 23° are measures of two angles of a triangle, what is the measure of the third angle?
Answers
Answered by
1
Answer:
30 degrees
Step-by-step explanation:
127 degree + 23 degree + x degree = 180 degree
x degree =[180 - 127 - 23 ] degrees
x = 30 degrees
third angle measure is 30 degrees
Answered by
30
..QUESTION..
If 127⁰ and 23⁰ are the measures of two angles of a triangle , what is the measure of the third angle ?
..ANSWER..
Given here ,
ㅤㅤㅤ➪ 1st angle = 127⁰
ㅤㅤㅤ➪ 2nd angle = 23⁰
★ Let the third angle be ' x '
ㅤㅤㅤ
•°• We Know That ,
➪ sum of interior angles of ∆ = 180⁰
•°• According the Question
➪ 1st angle+2nd angle+3rd angle = 180⁰
ㅤㅤ➪ 127⁰ + 23⁰ + x = 180⁰
ㅤㅤ➪ 23⁰ + x = 180⁰ - 127⁰
ㅤㅤ➪ x = 53⁰ - 23⁰
ㅤㅤ➪ x = 30⁰
•°• The third angle is 30⁰
_____________________
Verification of the answer :
ㅤㅤㅤ♧︎︎︎ L.H.S
➪ 127⁰ + 23⁰ + x
➪ 127⁰ + 23⁰ + 30⁰
➪ 150⁰ + 30⁰
➪ 180⁰ = R.H.S
ㅤ[( PROVED )]
ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂
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