<u>We are Given:</u>
∠1 = 65°
<h3><u>
Finding the measure of all other angles with proof:</u></h3>
<u>∠2:</u>
∠1 + ∠2 = 180° <em>(angle 1 and 2 form a Linear Pair)</em>
65 + ∠2 = 180 <em>(Angle 1 = 65°)</em>
∠2 = 180 - 65
∠2 = 115°
<u>∠3:</u>
∠1 = ∠3 <em>(Angle 1 and 3 are vertically opposite)</em>
65 = ∠3 <em>(Angle 1 = 65°)</em>
<em>∠3 = 65°</em>
<em />
<u><em>∠4:</em></u>
∠4 = ∠2 <em>(Vertically opposite angles)</em>
∠4 = 115° <em>(∠2 = 115°)</em>
<u><em /></u>
<u>∠5:</u>
∠5 = ∠1 <em>(Corresponding angles)</em>
∠5 = 65° <em>(∠1 = 65°)</em>
<u><em /></u>
<u>∠6:</u>
∠6 = ∠2 <em>(Corresponding angles)</em>
∠6 = 115° <em>(∠2 = 115°)</em>
<em />
<u>∠7:</u>
∠7 = ∠3 <em>(Corresponding Angles)</em>
∠7 = 65° <em>(∠3 = 65°)</em>
<em />
<u>∠8:</u>
∠8 = ∠4 <em>(Corresponding angles)</em>
∠8 = 115° <em>(∠4 = 115°)</em>
Answer:
(2x + 1)(x + 5)
Step-by-step explanation:
2x² + 11x + 5 =
= 2x² + 10x + x + 5
= 2x(x + 5) + (x + 5)
= (2x + 1)(x + 5)
Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50
Answer:
Annie's height= 49 cm
Her brother's height= b+ 49
Let the sum be represented as x
x- 49 = b
Answer:
1600 after 24 hours
Step-by-step explanation:
100+100 = 200 after 6 hours
200+200 = 400 after 12 hours
400+400 = 800 after 18 hours
800+800 = 1600 after 24 hours