The measures of the angles in △ABC are given by the expressions in the table.

Mathematics

2 answers:

lozanna [386]3 years ago

6 0

Answer:THE CORRECT ANSWER ISSSSSS x=25

mb=65

mc=50

valina [46]3 years ago

3 0

Answer:

Step-by-step explanation:

Given: ∠A=65°, ∠B=3x-10 and ∠C=2x

To find: The value of x and then of ∠B and ∠C.

Solution:

In ΔABC, using the angle sum property of triangles, we get

∠A+∠B+∠C=180°

⇒65°+3x-10+2x=180°

⇒5x+55=180

⇒5x=125

⇒x=25

Thus, the value of x will be 25°

Now, the measure of angle B will be:

∠B=3x-10=3(25)-10=65°

⇒∠B=65°

And the measure of the angle C will be:

∠C=2x=2(25)

⇒∠C=50°

Therefore the measures of the angle B and angle C will be ∠B=65° and ∠C=50°.

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