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aliya0001 [1]
3 years ago
8

ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a​ triangl

e, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each​ angle?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

80°, 40° and 60°

Step-by-step explanation:

Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)

so we will have an equation of

180°=2x + x + (20°+x)

160°=4x

40°=x

so the second angle is 40° as it is represented by just one X

therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!

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