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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For the 40 hour week, they would be paid 40 multiplied by 9 which is 360. For the additional 3 hours they would be paid 18 dollars an hour, because its double.18 multiplied by 3 is 54. 360 + 54= 414. The answer is $414
Answer:
The paint will not fill the tray by 10.53 in3.
Step-by-step explanation:
Length = 14 inches
Width = 10 inches
Depth = 4 cm = 1.57 inches
Volume = length x width x depth
Volume = 14 x 10 x 1.57
= 220.47 inches cube
Volume of Gallon = 231 inches cube
Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
