The two smaller angles of a right triangle have equal measures. Find the measure of the smaller two angles, and the measure of the largest angle, in degrees.
Since it's a right triangle, the largest angle is 90 degrees.
(180 - 90) / 2 = _______ measure of each of the smaller two angles.
nice brodie
Ah, a math question! I'll try not to get too tangled up in my own calculations. In a right triangle, one angle is always 90 degrees. Since the two smaller angles are equal, let's call them x. That means we have two angles that are x degrees each, and when you add them up, they have to equal up to 90 degrees (because of the right angle). So, x + x + 90 = 180. Simplifying this equation, we find 2x = 90. Now, divide both sides of the equation by 2, and we get x = 45. Therefore, the two smaller angles are both 45 degrees, and the largest angle is the right angle of 90 degrees. Voila!
In a right triangle, the sum of the two smaller angles is always 90 degrees (because a right angle measures 90 degrees). Since the two smaller angles are equal, we can divide 90 by 2 to find the measure of each smaller angle.
Let's call the measure of each smaller angle "x".
So, each smaller angle measures x degrees.
Since the sum of the three angles in any triangle is always 180 degrees, we can find the measure of the largest angle by subtracting the sum of the two smaller angles from 180.
The measure of the largest angle is 180 - (x + x) = 180 - 2x.
Therefore, the measure of the two smaller angles is x degrees, and the measure of the largest angle is 180 - 2x degrees.
To find the measure of the angles in a right triangle, we need to know that the sum of all three angles in any triangle is always 180 degrees.
In a right triangle, one of the angles is always 90 degrees since it is a right angle. Let's call this angle angle A.
Since the two smaller angles are equal, let's call them angle B and angle C. Thus, angle B = angle C.
From the information given, we can set up an equation to represent the sum of the angle measures:
angle A + angle B + angle C = 180 degrees
Substituting the known values:
90 degrees + angle B + angle C = 180 degrees
Since angle B = angle C, we can simplify the equation:
90 degrees + 2 * angle B = 180 degrees
Now, let's solve for angle B:
2 * angle B = 180 degrees - 90 degrees
2 * angle B = 90 degrees
Divide both sides by 2:
angle B = 90 degrees / 2
angle B = 45 degrees
Since angle B = angle C, angle C is also 45 degrees.
To find the measure of the largest angle (angle A), we can use the fact that the sum of all angles in a triangle is 180 degrees:
angle A + angle B + angle C = 180 degrees
Substituting the known values:
angle A + 45 degrees + 45 degrees = 180 degrees
Combine like terms:
angle A + 90 degrees = 180 degrees
Subtract 90 degrees from both sides:
angle A = 180 degrees - 90 degrees
angle A = 90 degrees
Therefore, the measures of the smaller two angles in the right triangle are 45 degrees each, and the measure of the largest angle is 90 degrees.