contestada

By the definition of complementary angles, since
∠
⁢
1
is complementary to
∠
⁢
2
,
m
∠
⁢
1
+
m
∠
⁢
2
=
90
∘
. By the vertical angles theorem,
∠
⁢
4
≃
_
∠
⁢
1
, and
m
∠
⁢
4
=
m
∠
⁢
1
by the definition of congruence. Combined with the given equation,
m
∠
⁢
4
=
40
∘
, the substitution property of equality means that
40
∘
=
m
∠
⁢
1
. Using the ,
40
∘

+
m
∠
⁢
2
=
. Finally, using the ,
m
∠
⁢
2
=
50
∘
.

By the definition of complementary angles since 1 is complementary to 2 m 1 m 2 90 By the vertical angles theorem 4 1 and m 4 m 1 by the definition of congruenc class=
By the definition of complementary angles since 1 is complementary to 2 m 1 m 2 90 By the vertical angles theorem 4 1 and m 4 m 1 by the definition of congruenc class=
By the definition of complementary angles since 1 is complementary to 2 m 1 m 2 90 By the vertical angles theorem 4 1 and m 4 m 1 by the definition of congruenc class=
By the definition of complementary angles since 1 is complementary to 2 m 1 m 2 90 By the vertical angles theorem 4 1 and m 4 m 1 by the definition of congruenc class=

Respuesta :

Medunno13

Blank 1: Substitution property of equality

Blank 2: 50

Blank 3: Subtraction property of equality

adioabiola

The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.

What are the missing statements in the proof?

Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.

Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.

Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.

Read more on complementary angles;

https://brainly.com/question/16281260

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