Answer:
Step-by-step explanation:
To find the approximate degree measure of angle A in the triangle, we can use the fact that the sum of angles in a triangle is always 180 degrees.
Let's denote the degree measures of angles B, C, and A as b, c, and a respectively.
From the given options, we know that angle B measures either 37.9 or 38.9 degrees, and angle C measures either 51.1 or 52.1 degrees.
Given that the sum of angles in a triangle is 180 degrees, we can subtract the measures of angles B and C from 180 to find the measure of angle A.
For angle B = 37.9 degrees and angle C = 51.1 degrees:
�
=
180
−
(
37.9
+
51.1
)
=
180
−
89
=
91
a=180−(37.9+51.1)=180−89=91
For angle B = 37.9 degrees and angle C = 52.1 degrees:
�
=
180
−
(
37.9
+
52.1
)
=
180
−
90
=
90
a=180−(37.9+52.1)=180−90=90
For angle B = 38.9 degrees and angle C = 51.1 degrees:
�
=
180
−
(
38.9
+
51.1
)
=
180
−
90
=
90
a=180−(38.9+51.1)=180−90=90
For angle B = 38.9 degrees and angle C = 52.1 degrees:
�
=
180
−
(
38.9
+
52.1
)
=
180
−
91
=
89
a=180−(38.9+52.1)=180−91=89
Therefore, the approximate degree measure of angle A is either 89 degrees or 91 degrees.
