Step-by-step explanation:
since the triangle CDE is an isoceles triangle (the 2 legs DC and DE are equally), the 2 angles at its baseline CE are equal.
combined with the fact that the sum of all angles in a triangle is always 180 degrees we can therefore say :
180 = 32 + 2× base angle
148 = 2× base angle
base angle = 74 degrees.
the angle DEC is one of these base angles and therefore 74 degrees.
and because of the symmetry of angles of crossing lines, this is equal to the angle AEB.
the triangle AEB is also an isoceles triangle. the angle A is one of its base angles at the baseline AB.
so, the same principle as before :
180 = 74 + 2× base angle
106 = 2× base angle
base angle = 53 degrees.
so, angle A is 53 degrees.
Answer:
Step-by-step explanation:
Navy
1/4 of 100 is twenty five <u>so we know the percent is 25%</u>
Writing a percent as a decimal is easy just put a period in front of the number <u>so the decimal is 0.25</u>
<u>The fraction is right there</u>
<u />
Brown
<u>Percent-35%</u>
<u>decimal- figure it out</u>
<u>Fraction- 7/20</u>
Black
<u>Percent- duh</u>
Decimal-0.2
<u>Fraction-1/5</u>
<u />
Other
<u>Percent-20%</u>
<u>Decimal- 0.2</u>
<u>Fraction- 1/5</u>
Answer:
1: 55 2: 40
Step-by-step explanation:
For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so
90+35+x=180
125 + x = 180
x = 55
Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180
55 + y = 180
y = 125
For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so
40 + 2x = 3x
x = 40
Answer:
heres a very simple one: x-18= -8 for x=10
Step-by-step explanation:
it just very simple, if you don't have any other choice.
