How many triangles can be constructed with angle measurements 134°,10°,36° ? exactly one triangle, more than one triangle, no
2 answers:
Answer:
More than one triangle
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
In a triangle the sum of its internal angles must be equal to degrees
In this problem
The sum of the internal angles is equal to
so
By the sum of the internal angles, we can construct a triangle
but
By the length of the sides keeping the same internal angles, we can construct infinite similar triangles
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Find sketch of parallelogram attached
Answer and explanation:
A parallelogram is a quadrilateral which is wider than it is long. A parallelogram has two sides parallel to the other. From the above, we are told the parallelogram PQRS has an angle QPS 120, with sides 10cm and 8cm, we use this to sketch the parallelogram
We find that angle QPS is 120 degrees hence angle RSP is 60 degrees since angle on straight line is 60 degrees from 180-120 in angle QPS and alternate angles are equal. Also opposite angles of a parallelogram are equal
