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PLEASE HELPP I NEEDD NOWWWWWWW

PLEASE HELPP I NEEDD NOWWWWWWW-example-1

1 Answer

2 votes

Answer:

m∠ADB = 36

Explanation:

Pre-Solving

We are given parallelogram ABCD.

We know that DB is a diagonal in the parallelogram.

We also know that m∠A = 115 degrees and m∠BDC = 29 degrees.

We want to find m∠ABD.

Recall that a parallelogram has two pairs of parallel sides; this means that AB is parallel to DC and AD is parallel to BC.

We can treat AD is a transversal between AB and DC, because it is intersecting those lines at different points.

Solving

So, AD is a transversal - recall that same-side interior angles of a transversal are supplementary, meaning they add up to 180 degrees.

This means that m∠A + m∠D = 180

If we look at the diagram, we can see that m∠D is consisted of m∠BDC and m∠ADB, meaning that we can substitute m∠D for m∠BDC + m∠ADB.

We get:

m∠A + m∠BDC + m∠ADB = 180

We can substitute the values that we know into the equation:

115 + 29 + m∠ADB = 180

144 + m∠ADB = 180

m∠ADB = 36

User UncleGene
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