Question

In the figure given below, if q/p = 5 and r/p = 4, then the value of p is:

Answer 1

Answer:

GIVEN:

$\frac{q}{p} =5 \: ; \: \frac{r}{p}=4$

RTF:

p=?

PROOF:

$\frac{q}{p} =5 \: ; \: \frac{r}{p}=4$

$Transpose \: p\: to \: the \: other \: side$

$q=5p, r=4p.$

Now, using linear pair:

$p+q+r=180\degree$

Substitute $q=5p, r=4p.$

$p+5p+4p=180$

$10p=180$

$p=18$

HOPE THIS HELPS :D