Step-by-step explanation:
given,
m1=23°
m2=32°
- m3=
- m1+m2+m3=180°{straight angle}
- 23+32+m3=180°
- m3=180-55°
- m3=125°
- m3=m6{vertically opposite angle r equal}
- m6=125°
- m2+m3+m4=180°(straight angle)
- m4=180-157°
- m4=23°
- m3+m4+m5=180°{straight angle}
- m5=180-148°
- m5=32°
hope it helps
<h2>stay safe healthy and happy....</h2>
Answer:
BF = 30
Step-by-step explanation:
Since B and F are midpoints then BF is parallel to CE and half it's size
BF = 0.5 × CE = 0.5 × 60 = 30
Okay. So we will solve this by seeing how many feet is in one second. The model airplane flies 22 feet in one second. I can tell you that the model airplane does fly 1,320 ft per minute, because 22 * 60 equals 1,320, not 1,056 ft per minute. It travels 15 miles an hour, because there are 5,280 ft in one mile. When you multiply 1,320 by 60, you get 79,200 ft. Divide that number by 5,280 and you get 15 miles, not 12 miles per hour. All of the unit rates equivalent to the speed are 15 miles an hour and 1,320 ft per minute.
17s-10+3(2s+1)
17s-10+6s+3
23s-7
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
![x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%202%20%5Ctimes%20180%20%5Cdegree%20%5C%5C%20x%20%2B%20y%20%2B%20z%20%3D%20360%20%5Cdegree%20%5C%5C%20%20x%20%2B%20y%20%2B%20z%20%3D%204%20%5Ctimes%20%2090%5Cdegree%20%5C%5C%20x%20%2B%20y%20%2B%20z%20%3D%204%20%5C%3A%20right%20%5C%3A%20angles)
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.