Question

9. What is the sum of the adjacent angles of a rhombus? If one of them is 35º, what is the measure of the other?

Guys plzz ans. ​

Answer 1

Solution :-

As we know that

Sum of adjacent sides of any quadrilateral = 180°

Let the other angle be x

Now , writing in form of an equation & given that other angle is 35°.

→ x + 35° = 180°

Assuming as equation 1

→ x = 180° - 35°

→ x = 165°

Hence , x = 165°

Verification :-

Now , taking equation 1 and substituting the value of x. If LHS equal to RHS then the answer is correct

→ x + 35° = 180°

Taking LHS

→ 165° + 35°

→ 180°

Now , comparing with RHS

180° = 180°

LHS = RHS

Hence , verified !

Answer 2

Answer:

The oposite angles of a parallelogram are equal (intersection of 2 parallel lines. Then two angles are 35 deg.The other two angles are equal we note them x The sum of angles of a parallelogram is 360deg. Then x+x+35+35=360

2x=360-70 2x=290 x=145 The other 2 angles are 145 deg each