The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle? A.70 degrees B.80 deg

Question

The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees

in progress 0
Lệ Thu 6 months 2021-07-15T22:46:37+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-07-15T22:47:52+00:00

    Answer:

    90

    Step-by-step explanation:

    The sum of the angles of a triangle is 180 degrees

    x+x+10 +x+50 = 180

    3x+60= 180

    3x = 180-60

    3x = 120

    Divide by 3

    3x/3 = 120/3

    x = 40

    The largest angle is

    x+50

    40+50 = 90

    0
    2021-07-15T22:48:01+00:00

    We have to,

    find the measure of the largest angle.

    Given that,

    The angles in a triangle are represented by x, x+10, and x+50.

    Let’s start to solve,

    → x+ (x+10) + (x+50) = 180°

    → x + x + x = 180° (-50-10)

    → 3x = 180° -60

    → 3x = 120

    → x = 120/3

    → [x = 40°]

    Then the value of x + 10,

    → x + 10

    → 40 + 10

    → 50°

    Then the value of x + 50,

    → x + 50

    → 40 + 50

    → 90°

    The measure of the largest angle is,

    → D. 90 degrees

    Thus, option (D) is the correct answer.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )