Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and an

Question

Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?

in progress 0
Ruby 3 weeks 2021-09-26T00:05:44+00:00 2 Answers 0

Answers ( )

    0
    2021-09-26T00:07:35+00:00

    119 degrees is the answer

    0
    2021-09-26T00:07:42+00:00

    Answer:

    Step-by-step explanation:let’s find the value of x first

    The sum of all the angles of a quadrilateral is 360°

    (15x-10)°+(15x+14)°+(9x-4)°+(11x+10)° = 360°

    Open up the brackets and rearrange the expression

    15x-10°+15x+14°+9x-4°+11x+10°=360°

    15x+15x+9x+11x-10°+14°-4°+10° = 360°

    50x+10°=360°

    Collect like terms

    50x=360°-10°

    50x=350°

    Divide by the coefficient of x

    x= 350/50

    X=7°

    Substitute the value of x into the various angles

    15x-10°=(15×7)-10= 105-10=95°

    15x+14°=(15×7)+14=105+14=119°

    9x-4°=(9×7)-4=63-4=59°

    11x+10°=(11×7)+10=77+10=87°

    The greatest angle measure is angle F which is 119°

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )