A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles
1 answer:
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Answer:
5
Step-by-step explanation:
What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this... but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.
Now we cross multiply and solve the equation...
So the value of x is 5.
Answer:
Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)