Answer:
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Step-by-step explanation:
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
<em><u>Solution:</u></em>
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
If we let x and y represent the prices of adult and child tickets, respectively, then we can write two equations based on the daily sales.
8x +5y = 108
x +14y = 67
A graphing calculator shows the solution of these equations to be
(x, y) = (11, 4)
The price of an adult ticket is $11.
The price of a child ticket is $4.
Answer:
f,c,d is the one who are equivalent
