Question

guys could someone pls answer this question?​

Answer 1

Explanation:

$\textsf{Since ABCD is a parallelogram,}$

$\textsf{Measure of angle B = Measure of Angle D}$

$\textsf{Now, in triangle ABC,}$

$\mathsf{A + B+C=180 \:\:\:(by\:the\:angle\:sum\:property\:of\:a\:triangle,\:sum\:of\:all\:angles\:of\:a\:triangle\:is\:180)}$$\textsf{4a + 6a + 5a = 180\\}$

$\textsf{15a = 180}$

∴ $\mathsf{a = \frac{180}{15} = 12}$

$\textsf{ Therefore, angle B = 6a = 6 x 12 = 72}$

∴ $\mathsf{Angle\: D = Angle\: B = 72}$

Answer: Angle D = 72°

I hope this helps. ^^