Supplementary means the 2 angles add up to 180 so...
124+(2x+4)=180
124+2x+4=180
124+2x+4-4=180-4
124+2x=176
124-124+2x=176-124
2x=52
2x/2=52/2
x=26
plug in and check
124+2x+4=180
124+2 (26)+4=180
124+52+4=180
176+4=180
180=180
Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
25%. 60 divided by 15 is 4, thus 15 is 1/4 of 60. 1/4 can also be expressed as 25%
You have to make the mixed number into a fraction in order to divide
Let us say that x is the real height of the original hut,
therefore we can establish the equation:
5 : x = 1.5 : 8
5 / x = 1.5 / 8
Solving for x:
x = 5 * 8 / 1.5
x = 40 / 1.5
<span>x = 26.67 ft</span>