Manuela is making a banner for a school dance. She makes one angle 116°. What should she make the measures of angles B and D so that the banner is a parallelogram?

A. 64°
B. 116°
C. 128°
D. 244°

Manuela is making a banner for a school dance She makes one angle 116 What should she make the measures of angles B and D so that the banner is a parallelogram class=

Respuesta :

< B is 180 - 116 = 64 degrees ( same side angles of a paralelogram are suplementary)
<D is opposite < B   so they both are 64 degrees

A

The adjacent angles of a parallelogram add up to 180 degrees

The measures of angles B and D so that the banner is a parallelogram is 64 degrees

From the question, we have:

[tex]\angle A = 116^o[/tex]

Given that angle A has a measure of 116 degrees, the measure of angle B is:

[tex]\angle B =180^0 - 116^o[/tex] --- adjacent angles

So, we have:

[tex]\angle B = 64^o[/tex]

Hence, the measures of angles B and D are 64 degrees

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