T is the interior of angle RSU. How to find the interior of Angle RSU. The first angle is RST which equals thirty eight degrees
and the second is angle TSU which equals twenty eight point six.
1 answer:
For this problem, we apply the Angle Addition Postulate. This postulate states that the sum of all the interior angles is equal to the total angle it forms. Looking at the attached figure, this means that ∠RSU = ∠RST + ∠TSU. So, to find the value of angle RSU, you just have to add the two individual interior angles:
∠RSU = 38° + 28.6° = 66.6°
∠RSU = 38° + 28.6° = 66.6°
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Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:
Substitute the value of x to (3)
Answer: x = 3 and y = 1.
