The value of a is 7.2 and the value of t is 12.5.
To find the value of a and t, we can use the fact that the opposite angles of an isosceles trapezoid are congruent.
Since angle K and angle X are congruent, we can set up an equation:
(35a-20) = (15a+8)
Solving this equation, we get a = 7.2.
To find the value of t, we can use the fact that the angles of a triangle add up to 180 degrees.
Since angle S is one of the angles of the triangle, we can set up an equation:
(35a-20) + (15a+8) + (10t+25) = 180
Solving this equation, we get t = 12.5.
The probable question may be:
KDSX is an isosceles trapezoid, as shown, where m∠ K=(35a-20)^circ , m∠ X=(15a+8)^circ m∠ S=(10t+25)^circ .
9. What is the value of a and t? Round your answer to the nearest hundredth.
10. What is m∠ S and m∠ D ? Round your answer to the nearest tenth.