Find the value of x and the measures of angle A and B.
Since the given is a right triangle, to solve for x, apply the Pythagorean formula,
where a and b are the legs of the triangle and c is the hypotenuse.
So, plug-in a=10, b=24 and c=x to the formula.
Since x represents the length of the hypotenuse, consider the positive value only.
Hence, the value of x is 26.
To solve for angle A, apply the tangent function.
`tan A = (opposite)/(adjacent)`
`tan A= 2.4`
Thus, the measure of angle A is 67.38 degrees.
Since the sum of the three angles of the triangle is 180 degrees, to solve for B, add the three angles and set it equal to 180.
`A + B + 90^o = 180^o`
`67.3 8 ^ o +B+90^o=180^o`
Hence, the measure of angle B is 22.62 degrees.