step 1
Find the measure of angle 1
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
90+58+<1=180
148+<1=180
<1=180-148
<1=32 degrees
step 2
Find the measure of angle 2
we know that
<2=<1 -----> bt vertical angles
so
<2=32 degrees
step 3
Find the measure of angle 3
REmember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle CDE
32+108+<3=180
140+<3=180
<3=180-140
<3=40 degrees
A stop sign has 8 sides and all angles are the same, so it is a regular octagon.
Answer:
13
Step-by-step explanation:
We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is
. This will go inside of your cube root. You now have
. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.
Answer:
30degrees
Step-by-step explanation:
Given
Exterior angle m<CDE = 7x - 19 degrees
interior angles are
m<BCD = 2x - 1
m<DBC = x+10
Since the sum of the interior angles is equal to the exterior, hence;
2x - 1 + x+10 = 7x - 19
3x + 9 = 7x - 19
3x - 7x = -19 - 9
-4x = -28
x = 28/4
x = 7
Get m<CDE
m<CDE = 7x - 19
m<CDE = 7(7) - 19
m<CDE = 49 - 19
m<CDE = 30degrees