Question

1 .If m∠SUT = 3x + 6 and m∠RUS = 5x – 4, find x

Answer 1

Answer:

1.If you are to check  the figure you will find that it is a rectangles. You should know the properties of a rectangle.

• we are goin to use the property: Each vertex of a rectangle has angle equal to 90 degrees
• meaning since m∠SUT and m∠ RUS form the vertex when added they give 90°

3x+6+(5x-4)=90°

3x+5x+6°-4°=90°

8x+2°=90°

8x=90°-2°

8x=8°

$\frac{8x}{8} =\frac{88}{8} \\x=11$

2.m ∠SUT is donated by 3x+6

and now we know the value of x=11°

m∠SUT=3(11°)+6

m∠SUT=33°+6°

m∠SUT=39°