स्कॉच अल्फा प्लस कोस थीटा इज इक्वल टू वन बाय 3 एंड साइन अल्फा प्लस साइन थीटा इज इक्वल टू वन बाय 400 कोस अल्फा माइनस बीटा बाय टू इज इक्वल टू प्लस माइनस 5 बटा चार
Answers
Answer:
a + b + c = 180
You also know that the two base angles are the same, which means that a = b. So you can rewrite this equation as
a + a + c = 180 or 2a + c = 180
You know that the third angle (c) is "10 less than 3 times a base angle" (which in this case is a). This can be written mathematically as
c = 3a – 10
Now substitute for c in the equation 2a + c = 180 and you can solve for a:
2a + 3a – 10 = 180 (group the a's together and add 10 to both sides of the equation)
5a = 190 (divide both sides by 5)
a = 38 (which also means that b = 38; you've solved for two of the three angles)
Now substitute for a in c = 3a – 10 and solve the equation:
c = 3(38) – 10
c = 114 – 10
c = 104
And there you have it. The three angles measure 38 degrees, 38 degrees, and 104 degrees. To check your answer, figure out whether these three angles add up to 180 degrees like they should.
Step-by-step explanation:
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