Answer:
x = 6
Explanation:
The Triangle Sum Theorem says that the sum of the interior angles in a triangle is always 180°.
Thus, we can find x by making the sum of all the angles in the triangle 180.
(Note before we start the problem that the angle in the the bottom left corner is a right angle and thus its measure is 90°)
90 + 4x + 3 + 63 = 180
(90 + 3 + 63) + 4x = 180
(156 + 4x = 180) - 156
(4x = 24) / 4
x = 6
Thus, x = 6
Optional: Check the validity of the answer:
We can check that our answer is correct by plugging in 6 for x in 4x + 3 and seeing if we get 180 when we add up all the angles in the triangle:
4(6) + 3
24 + 3
27
Thus, the measure of the angle at the top of the triangle is 27. Now let's check that the sum of the three angles equals 180:
90 + 27 + 63 = 180
180 = 180
Thus, our answer is correct.