7y + 3y = 180
10y = 180
y = 180/10
y = 18
so < 9 = 7y = 7(18) = 126
< 10 = 3y = 3(18) = 54
< 9 and < 11 are corresponding angles....so they are equal....so < 11 is 126 degrees....< 11 and < 16 are vertical angles...so they are equal....so < 16 is 126 degrees <==
Answer:
234567
Step-by-step explanation:
Comment
The way to handle this is to realize that the 180 degree angle (the two supplementary angles added together to make 180o by definition) is actually divided into 6 parts. There are 2 parts for the smaller angle and 4 for the larger.
Added together the 2 angles = 180
Equation
Let one of the 6 parts = x
2x + 4 x = 180
Solve
2x + 4x = 180 Add the like terms on the left together.
6x = 180 Divide by 6
x = 180/6
x = 30
Answer
Since one angle is 2 parts (the smaller angle)
2 * 30 = 60
And the larger angle is
4 * 30 = 120
The two angles are
60,120 <<<< answer.
Further comment.
The two angles are supplementary 60 + 120 = 180
One angle is twice as big as the other. 2*60 = 120
11. (D) 70°, 12. (A) 45°, 13. (A) 45°, 14. (B) 180°, 15. (C) 65°, 16. (D) 135°, 17. (A) 115°, 18. (D) 315°
Step-by-step explanation:
From the given diagram,
For, 11. DC
The angle for DC measured in diagram is 70°.
For, 12. AB
The angle for AB is measured in diagram is 45°.
For, 13. ED
The angle for ED is measured in diagram is 45°.
For, 14. ABD
The angle for ABD (AB+BD) is measured in diagram is 180°.
For, 15. BC
The angle for BC is measured in diagram is 65°.
For, 16. BD
The angle for BD is measured in diagram is 135°.
For, 17. CED
The angle for CED (CD + DE) is measured in diagram is 115°.
For, 18. ADB
The angle for ADB (AD+DB) is measured in diagram is 315°.