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emwemily
09.04.2020 •
Mathematics
Angle m and angle n are complementary the measure of one angle is four times the other angle what is the supplement of the larger angle
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Ответ:
The supplement of the larger angle is 108°.
Step-by-step explanation:
Step 1:
If two angles are complementary, the sum of the angles will be equal to 90°.
If two angles are supplementary, the sum of the angles will be equal to 180°.
If angle m and n are complementary, the sum of angles m and n will be 90°.
Also assume angle m is four times the angle n.
So![m = 4n.](/tpl/images/0591/1835/97d33.png)
So![n=18.](/tpl/images/0591/1835/d213f.png)
so m is 72° and n is 18°.
Step 2:
Angle m is the larger angle.
Assume angle m and angle o are supplementary.
Angle m + angle o = 180°.
Angle o![= 180 - 72 = 108 .](/tpl/images/0591/1835/d69f6.png)
So the supplement of the larger angle is 108°.
Ответ:
2*120 + 2*3.14*40 = 240 + 251.2 = 491.2;