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The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.

The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.

Grade:12

3 Answers

Harshit Singh
askIITians Faculty 5964 Points
11 months ago
Dear Student

(3x + 5)° and (61 – x)° are the opposite angles of a parallelogram.
We know that the opposite angles of a parallelogram are equal.
Therefore,
(3x + 5)° = (61 – x)°
3x + x = 61° – 5°
4x = 56°
x = 56°/4
x = 14°
⇒ 3x + 5 = 3(14) + 5 = 42 + 5 = 47
61 – x = 61 – 14 = 47
The measure of angles adjacent to the given angles = 180° – 47° = 133°
Hence, the measure of four angles of the parallelogram are 47°, 133°, 47°, and 133°.

Thanks
Mannat Arora
14 Points
3 days ago
a. Find the square root of 15876 by using prime factorization method.
b. Find the square root of 121 by the method of repeated subtraction..
Mannat Arora
14 Points
3 days ago
27. a. Find the square root of 15876 by using prime factorization method.
b. Find the square root of 121 by the method of repeated subtraction..

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