Question

9. 8.12
= 23°, giver
site angles
If the angles (13x + 30) and (5x + 6° are supplementary angles, find the measures !
these angles.
(Hint: 13.x - 30 + 5x + 6 = 180. Solve to get the value of x and hence find the measure of the angles)
If an angle exceeds its complement by 20°, find the angle.
If the supplement of an angle is three times its complement, find the angle.
THint: Let the measure of the required angle be x. Then 180- x=3 (90 -- *)]
The supplement of an angle is one-third of itself. Determine the angle and its supplement
o Two complementary angles are in the ratio 2:3. Find the angles.
1. Two supplementary angles are in the ratio 4:5. Find the angles.
11. In Figure 1, OA and OB are opposite rays. If x= 42°, what is the value of y?
12. In Figure 2. ZAOC and ZBOC form a linear pair. Determine the measures of ZAOC and ZBOC.
11 In Figure 3. AOB is a straight line. Find x and also the measure of each angle.
Using (1)
Fig. 2
Fig. 1
14. In Figure 4. POR and ZQOR form a linear pair. If xy = 2:3, find the values of x and y.
15. In Figure 5. ZAOB and ZCOB form a linear pair. Find the measure of
16. In Figure 6, what value of y will make POQ a straight line?​

Answer 1

Answer:

(13x+30)+(5x+6)=180°

18x+36=180°

18x=180-36

18x=144

x=144÷18=8

one angle =13x+30=134°

another angle =5x+6=46°

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