Question

An exterior angle of a triangle of measure 80° and one of its opposite interior angle is of measure 30°. Find
right
the measure of other angles of the triangle. Also, write the name of triangle (acute or obtuse or
triangle),

Answer 1

Step-by-step explanation:

The sum of the angles of any triangles should be 180(I.e)

a+b+c=180

Since in any right angle triangle one of the angle will be 90 degree the equation can be written as below

90+b+c=180

Taking b=52 (given)

90+52+c=180

c=38.

hope it was helpful

Answer 2

Answer:

50° and 100°

Step-by-step explanation:

let the opposite interior angle be X

sum of the two opposite interior angle is equals to opposite exterior angle

X+30°=80°

X=80°-30°

X=50° (acute angle triangle)

let the other unknown angle be y

sum of the triangle is equals to 180°

y+30°+50°=180°

y+80°=180°

y=180°-80°

y=100° (obtuse angle triangle)

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