Answer:
Step-by-step explanation:
m∠1=m∠3
m∠2=m∠4
3*(m∠1+m∠3)=m∠2+m∠4
3*(m∠1+m∠1)=m∠2+m∠2
3×2 m∠1=2 m∠2
m∠2=3 m∠1
now m∠1+m∠2=180°
m∠1+3 m ∠1=180
4 m∠1=180
m∠1=180/4=45°
m∠3=45°
m∠2=180-m∠1=180-45=135°
m∠4=135°
Answer:
Step-by-step explanation:
Step-by-step explanation:
31 37 41 43 47 51 53 57 59
are the prime numbers between 30 and 60
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
