Question

find the measure of the third angle of the triangles whose two angles are .. 1 ) 38°,102°. 2 ) 116°,30°​

Answer 1

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

For first triangle,

38 +102 + third side = 180

(by angle sum property)

140 + third side = 180

Third side = 40

For second triangle, 116 +30 + third side = 180 (by angle sum property)

146 + third side = 180

Third side = 34

For third triangle 40 + 80+third side = 180 120 +third side = 180

Third side = 60

Hence proved.

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Answer 2

Answer:

1)

given the two angles of a triangle one is 30 degree and other one is 102 degree.

we have to find the third angle

so we you know that the sum of all angles of a triangle is 180 degree .

let the third angle be x

x+38°+102°=180°

x= 180°-140°=40°

so the required answer is 40°

2) here also the two angles of a triangle is given

one is 116 degree and another one is 30 degree

so as we know

the sum of all angles are 180 degree

let be the third angle of this triangle is x

x+116°+30°=180°

x= 180°-146°=34°

so the required answer the third angle = 34°

hope it helps you ✌️✅✅✅