### Instruction: An isosceles, obtuse triangle has one angle with a degree measure that is 50$\%$ larger than the measure of a right angle. What is the measure, in degrees, of one of the two smallest angles in the triangle? Express your answer as a decimal to the nearest tenth.### Response: I know that a right angle has a measure of 90 degrees, so 50$\%$ larger than that would be 90 + 45 = 135 degrees.
That means the obtuse angle in the triangle has a measure of 135 degrees.
I also know that the sum of the angles in any triangle is 180 degrees, so the other two angles in the triangle must add up to 180 - 135 = 45 degrees.
Since the triangle is isosceles, the other two angles are congruent, meaning they have the same measure.
To find that measure, I can divide 45 by 2.
45 divided by 2 is 22.5.
Therefore, the measure of one of the two smallest angles in the triangle is 22.5 degrees.
To express this as a decimal to the nearest tenth, I can round 22.5 to 22.5.