In a triangle the largest angle is 5 0 more than four times its smallest angle . The third
angle is twice the smallest angle .
a) What is the sum of the angles of a triangle ?
b) Find the angles ?
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Step-by-step explanation:
The sum of angle is 100
first angle is 50 and two angle is 25-25
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Sum of angles of any triangle is 180°
a) 180°
b) Let smallest angle be 'x'
Then, largest angle is '4x + 50'
Then, third angle is '2x'
Then, x + 4x + 50 + 2x = 180
7x + 50 = 180
7x = 180 - 50
7x = 130
x = (130/7)°
= 18. 5°
Largest angle = ( 4× 18. 5) + 50
= 74 + 50
= 124°
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