In the figure, △ABD and △ADC are similar. If m∠ABD = 120º, then m∠ADC = ___

Solution:

△ABD and △ADC are similar as

AB/AD = AD/AC = BD/DC

30/35 = 35/AC = BD/DC

From the above AC is calculated as

AC = (35 × 35)/30

= 245/6 = 40.83

Since BD or DC is unknown their length cannot be calculated.

Since the triangles are similar the angle ∠ABD = angle ∠ADC

So if ∠ABD = 120°

Then by the properties of the similar triangles(as stated above already)

∠ADC = 120°

In the figure, △ABD and △ADC are similar. if m∠ABD = 120º, then m∠ADC = ___

Summary:

If m∠ABD = 120º, then m∠ADC = 120º as the two triangles △ABD and △ADC are similar.