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gizmo_the_mogwai [7]
4 years ago
13

In this figure, m∠3 = (2x + 15)° and m∠6 = (3x + 10)°. What value of x makes a∥b? Enter your answer in the box.

Mathematics
1 answer:
Dvinal [7]4 years ago
8 0
For First Question:
As, we find the value  of x for parallel condition of line a and b
so, m∠3 = m∠1 and m∠2 = 180°-m∠1 = 180°-(2x+15)° [ As straight line contain total 180°]
Now,
m∠2 = <span>m∠6 [ Because they are corresponding angles]
180</span>-(2x+15)=(3x+10)
180=3x+10+2x+15
x= 31 satisfies the condition of a||b

For second Question:
As, it is issoceles triangle So side AC = side BC So, m∠A=<span>m∠B
</span>4x+5=5x-1
x=6
So,
m∠A=29° and triangle contain total 180° 
<span>m∠C=180-29-29
</span>       =122°
Option D is correct

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4 years ago
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5 0
2 years ago
Read 2 more answers
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