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# M70-13

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Math Expert
Joined: 02 Sep 2009
Posts: 49251

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03 Sep 2018, 03:50
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(N/A)

Question Stats:

67% (00:52) correct 33% (00:56) wrong based on 3 sessions

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In the triangle above, what is the value of $$x$$?

A. $$20$$
B. $$30$$
C. $$40$$
D. $$50$$
E. $$60$$

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Math Expert
Joined: 02 Sep 2009
Posts: 49251

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03 Sep 2018, 03:50
Official Solution:

In the triangle above, what is the value of $$x$$?

A. $$20$$
B. $$30$$
C. $$40$$
D. $$50$$
E. $$60$$

We’ll go for PRECISE because we have all the information we need to solve the question.

Adding AD and DC together, we see that triangle ABC is made up of lines of lengths 3, 4, 5 – a Pythagorean triplet! This means ∠B = 90°. Next, since BC = DC, we know that ∠CDB = ∠BDC = 70°. This makes ∠C = 180 – 70 – 70 = 40°. Now that we have two of the triangle’s angles, we can see that ∠A = 180 – 90 – 40 = 50°.

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Re M70-13 &nbs [#permalink] 03 Sep 2018, 03:50
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# M70-13

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