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In the graphs below, triangle ABC has been rotated to create triangle DEF.Triangle ABC is right angle, with a measure of 23° for acute angle B.What are the measures of each right angle in triangle DEF?m

In the graphs below triangle ABC has been rotated to create triangle DEFTriangle ABC is right angle with a measure of 23 for acute angle BWhat are the measures class=

Respuesta :

Given data:

The given figure of the triangles in which the ∠B=23 degrees.

The measure of the ∠C=90 degrees,

The expression for the sum of angles of triangle is,

∠A+∠B+∠C=180 degrees

∠A+23+90=180

∠A=67 degrees

When the given figure is rotated the side,

AC=DF

AB=DE

CB=FE

The expression for the angles is,

m∠D=m∠A

=67 degree

m∠E=m∠B

=23 degree

m∠F=m∠C

=90 degree

Thus, the mmeasure of the angle D is 67 degrees, the mmeasure of the angle E is 23 degrees, and the measure of the angle CF is 90 degrees.

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