Answer:
<h2><em><u>C. 11</u></em></h2>
Step-by-step explanation:
2(x + 1) - 3
<em>(</em><em>Putting</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>6</em><em>)</em>
= 2(6 + 1) - 3
= 2 × 7 - 3
= 14 - 3
= <em><u>11</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em>
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Answer:
See answers below
Step-by-step explanation:
The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.
Therefore:
#7 -> x=38
#8 -> x=144
#9 -> 2x=84 -> x=42
#10 -> x+3=30 -> x=27
Answer:

Step-by-step explanation:
we know that
In the right triangle of the figure
The cosine of the angle of 35 degrees is equal to divide the adjacent side to the angle of 35 degrees by the hypotenuse
so
-----> by CAH
solve for x

