the ratio of two supplementary angles is 2:7. what is the measure of the smaller angle
Supplementary angles are angles that add up to 180°.
So if the ratio of the two angles are 2:7, or 2x : 7x, then we have
2x+7x=180
Solve for x and evaluate 2x and 7x to get the measure of the angles.
In a right angled triangle two smaller triangles in the ratio 2:7.compute these angles.
To find the measure of the smaller angle, we first need to understand what supplementary angles are. Supplementary angles are two angles that add up to 180 degrees.
Let's assume that the smaller angle has a measure of x degrees. Since the ratio of the two supplementary angles is 2:7, we can set up the following proportion:
x degrees / (180 - x degrees) = 2 / 7
To solve this proportion, we cross-multiply:
7 * x degrees = 2 * (180 - x degrees)
7x = 360 - 2x
Next, we combine like terms:
7x + 2x = 360
9x = 360
Finally, divide both sides of the equation by 9:
x = 40
Therefore, the measure of the smaller angle is 40 degrees.