Question

in parallelogram ABCD angle is A is (6y+5) and angle B is (10y-1). determine the measure of the angle

Answer 1

Using parallelogram concepts, it is found that:

• The measure of angle A is of 71º.
• The measure of angle B is of 109º.

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• In a parallelogram, the sum of the internal angles is of 180º.
• The angles are in pairs, that is, two measure $m_1$ and two measure $m_2$.

In this question, the angles are:

$m_1 = 6y + 5$

$m_2 = 10y - 1$

Applying the sum:

$2(m_1 + m_2) = 360$

$m_1 + m_2 = 180$

$6y + 5 + 10y - 1 = 180$

$16y = 176$

$y = \frac{176}{16}$

$y = 11$

Then, the measures are:

$A = 6(11) + 5 = 66 + 5 = 71$

$B = 10(11) - 1 = 110 - 1 = 109$

Thus:

• The measure of angle A is of 71º.
• The measure of angle B is of 109º.

A similar problem is given at https://brainly.com/question/10975107