Rozwiąż podane przykłady. oblicz miary kątów ..

daje naj

α= 22°

β= 100°

Y= 50°

Step-by-step explanation:

Given are three different triangles,

In the first triangle, two of the angles are 38° and α° and the third angle would be 120°(using vertical opposite angle equal property).

We know sum of all three angles of a triangle °

Substituting,

Similarly,

In the second triangle, two of the angles are 40° and 60° and the the angle we have to find is outside(β).

We know the outside angle is equal to the sum of opposite inside angles of a triangle.

Therefore,

β

In third triangle,'Y' is inside angle of the triangle and 70° and 160° are outside.

° makes linear pair,

sum of linear pair angles= °

Therefore the angle of triangle next to ° would be °

We see 'Y' is outside and opposite to both the inside angles . thus applying the property,

°

Therefore 'Y' =

tangent

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9