Question

Find the measure of each marked angle.

Answer 1

Answer:

X= 15, m∠78°

Step-by-step explanation:

Since the angles are vertically opposite

Therefore their measurements are equal

Therefore (2x + 48 ) = (5x + 3 )

So,

$(2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15$

$(2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78$

They both equal 78°