Question

Measures of opposite angles of a parallelogram are (7x - 31)˚ and (5x + 13)˚. Then find the measure of ∠ B. 

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Answer 1

■ ANSWER ■

As we know that , opposite angles of a parallelogram are equal,

• As we know that , opposite angles of a parallelogram are equal,So,  5x+1=49−3x

• As we know that , opposite angles of a parallelogram are equal,So,  5x+1=49−3x⟹8x=48

• As we know that , opposite angles of a parallelogram are equal,So,  5x+1=49−3x⟹8x=48⟹x=6

As we know that , opposite angles of a parallelogram are equal,So,  5x+1=49−3x⟹8x=48⟹x=6Hence , measure of this angle  =5.(6)+1=31o

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Answer 2

Answer:

The angles are 123° and 57°

Step-by-step explanation:

As we know, opposite angles of a parallelogram are equal.

So, 7x-31 = 5x+13

x = 22

So the angle is 7× 22 - 31 = 154-31=123°

Since sum of adjacent angles of a parallelogram is 180° , the other angle will be 180-123=57°