The two interior angles of the triangle is 75 and 105 degree.
<h3>What is the exterior angle theorem ?</h3>
According to the exterior angle theorem , The size of an exterior angle of a triangle is the sum of of smaller of two opposite interior angles.
It is given that
Let the measure of the two interior angle be x and y
then
The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles
x+ y = 180
the greater of the opposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.
x = y+30
By substitution method
y+30+y = 180
2y +30 = 180
2y = 150
y = 75 degree and x = 105 degree.
Therefore the two interior angles of the triangle is 75 and 105 degree.
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Answer:
m<BAC = 34
Step-by-step explanation:
It is given that (<BOC) is a central angle with a degree measure of (68). A central angle is an angle whose vertex is the center of the circle. (<BAC) is an inscribed angle, an angle whose vertex is on the circumference (perimeter) of the circle. Arc (BC) connects the ends of both of these angles.
The central angle theorem states that the measure of the central angle is equivalent to its surrounding arc. Using this theorem, one can state the following,
m<BOC = BC = 68
The inscribe angle theorem states that the measure of the arc surrounding the inscribed angle is twice the measure of the inscribed angle. Applying this theorem, one can state the following,
2(m<BAC) = (BC)
2 (m<BAC) = 68
m<BAC = 34
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
- 56 + y + (180 - 123) = 180
- => 56 + y + 57 = 180
- => y = 180 - 113
- => y = 67°
<h3><u>Conclusion:</u></h3>
Therefore, the answer is y = 67°.
Hoped this helped.
Answer:d
Step-by-step explanation:
The answer is 50:45 because 50 red golf balls to 45 golf balls. If you do 45:50 than that's the other way around you have to answer it exactly as it says
