Find the measure of each marked angle.

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,

They both equal 78°

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step-by-step explanation:

π^°×{{€€

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm