Question

Triangle U is an enlargement of triangle T.

Work out the size of angle x.
27°
T
U
X

Answer 1

x = 63°

Explanation:

You want to know the measure of acute angle x in a right triangle in which the other acute angle is 27°.

Similar triangles

The corresponding angles in similar triangles are congruent. The larger of two acute angles in a right triangle is the complement of the smaller acute angle. Hence ...

x = 90° -27°

x = 63°

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