Suggested Answer:E🗳️
The sum of all the angles is 180. Divide 180 by 6 (3+2+1) and well get 36; this is the size of the smallest angle. The largest angle is three times bigger, thus 36 x 3 = 108 degrees.
GPT
To find the largest angle in the triangle with angles in the ratio of 3:2:1, you first add up the parts of the ratio:
3 + 2 + 1 = 6.
This total represents the number of equal parts the sum of the triangle's angles (180 degrees) is divided into. Since the angles are in the ratio 3:2:1, you can calculate the size of one part:
One part
=
180
°
6
=
30
°
One part=
6
180°
=30°.
The largest angle corresponds to the largest part of the ratio, which is 3 parts:
Largest angle
=
3
×
30
°
=
90
°
Largest angle=3×30°=90°.
So, the largest angle in the triangle is 90 degrees, which corresponds to choice D. 90.
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MattG
12 months ago