1. Angles of Triangles
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Consider the Triangle Angle Sum Theorem.
37^(∘) and 53^(∘)
Let's analyze the given triangle.
As we can see, one of its angles is a right angle. Therefore, it is a right triangle. This allows us to use the Triangle Angle-Sum Theorem, which states that acute angles of a right triangle are complementary. In this case, it means that 11x-2 and 6x+7 add up to 90.
Once we know the value of x, we can find the exact values of the acute angles. cc 11x-2& →& 11( 5)-2&→& 53^(∘) 6x+7&→&6( 5)+7&→& 37^(∘)