The angle measurements in the diagram are represented by the following expressions.

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

Move variable to L.H.S and change its sign

Move constant to R.H.S and change its sign

Calculate

Divide both sides of the equation by 4

Calculate

Replacing value

<A =

hope this helps...

m∠abd = m∠dbc

step-by-step explanation:

given : ab bisects ∠dbc

as we know that bisection means ab divides   ∠dbc   in two equal angles named as   ∠dba and   ∠abc

so, m∠abd = m∠dbc  

because ab bisects ∠dbc.

hence , the first statement m∠abd = m∠dbc is true.