5. Three angles which add to 180° are in the ratio 2 : 3:4. Find the angles.
6. 20% of an angle is the complement of 74º. Find the angle.
7. In which of the following figures are ZPQR and ZPQS adjacent angles?
Р
R
P
S
(b)
(a)
(c)
P
R
O
S
S
8. For the adjoining figure, find the value of:
(a) x
(b) ZPQS
x + 630
(c) ZSOR
x + 27°
P
R
dinant angler is 950 If one of them measures 15° less tha
Answers
Answer:
Answer 5 - The angles are 40°,60° and 80°
Answer6 - The angle will be 80º.
Step-by-step explanation:
Solution 5.
Three angles which add to 180° are in the ratio 2 : 3:4. Find the angles.
Let the angles are 2x, 3x and 4x
So, 2x + 3x + 4x = 180°
or, 9x = 180°
or, x = 180° / 9
so, x = 20°
Therefore, the angles are 2 X 20° = 40°
3 X 20° = 60°
4 X 20° = 80°
Solution 6.
20% of an angle is the complement of 74º. Find the angle.
ATQ, Complement of 74º = 90 - 74º
= 16º
Now, let the angle be x and its 20 % = 20x / 100 or x/5
therefore x / 5 = 16º
or, x = 16º X 5 = 80º
Answer - The angle will be 80º.
Please upload image for question 7,8
5. Let the angle be ' x '
● 2x + 3x + 4x = Total degree
=> 2x + 3x + 4x = 180°
=> 9x = 180°
=> x = 180 / 9
=> x = 20°
To find :
2x = 2 × 20 = 40°
3x = 3 × 20 = 60°
4x = 4 × 20 = 80°
Verification :
40° + 60° + 80° = 180°
=> 100° + 80° = 180°
☃️ => 180° = 180°
Hence verified.
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6. To find the angle :
☃️ 20 + 74 = 94°
Therefore, it's 94°
❥ So, It's Done ❥ !!