12 The opposite angles of a parallelogram PQRS are angle Q = (5x-16)°

1.	12 The opposite angles of a parallelogram PQRS are angle Q = (5x-16)° and angle S = (2x+29)°. Find all the angles of parallelogram.
Answer» Step-by-step EXPLANATION: ANSWER:- Given That:- The opposite sides of a Parallelogram is 5x-16 and 2x+29 The given condition is that it is a Parallelogram Concept:- PARALLELOGRAMS and other 2D figures Properties Let's Do! First of all, we need to know that the opposite sides of Parallelogram are always equal. The corresponding sides of a Parallelogram are supplementary of each other. So, according to question the sides are opposite ie equal. 5x-16 = 2x+29 5x-2x = 29+16 3x = 45 $\sf{x = \dfrac{45}{3}}$ x = 15° Sp, placing the values, we get:- 5(15) - 16 = 75-16 = 59°. So, as I said, we will find the other angles as:- 180- 59 = 121°. Sp, 121°, 121°, 59° and 59° are the required angles.

12 The opposite angles of a parallelogram PQRS are angle Q = (5x-16)° and angle S = (2x+29)°. Find all the angles of parallelogram.

Answer»

Step-by-step EXPLANATION:

Concept:-

PARALLELOGRAMS and other 2D figures Properties

Let's Do!

First of all, we need to know that the opposite sides of Parallelogram are always equal.

The corresponding sides of a Parallelogram are supplementary of each other.

So, according to question the sides are opposite ie equal.

5x-16 = 2x+29

5x-2x = 29+16

3x = 45

$\sf{x = \dfrac{45}{3}}$

x = 15°

Sp, placing the values, we get:-

5(15) - 16

= 75-16

= 59°.

So, as I said, we will find the other angles as:-

180- 59 = 121°.

Sp, 121°, 121°, 59° and 59° are the required angles.