Question

The two angles of a quadrilateral measures 105° and 65°. If the other two angles are equal, what is the
measure of these equal angles?

Answer 1

Answer:

95

Step-by-step explanation:

i hope this is useful for you

Answer 2

Answer:

95⁰

Step-by-step explanation:

Given⤵️

The measure of two angles of a quadrilateral is 105° and 65°

The other two angles are equal

To find⤵️

The measure of each of the equal angles.

Solution⤵️

Let's assume,

∠A = 105°

∠B = 65°

∠C = ∠D = "x" → represent each of the other two equal angles of the quadrilateral.

We know that ⇒ the sum of all 4 angles of the quadrilateral is 360°

i.e., ∠A + ∠B + ∠C + ∠D = 360°

Now, substituting the value of ∠A, ∠B, ∠C & ∠D, we get

∠A + ∠B + ∠C + ∠D = 360°

105⁰ + 65⁰+ ∠C + ∠D = 360°

170⁰+ ∠C + ∠C= 360°(we will take any 2 angle as same that we have to find so don't confuse )

∠C = 360⁰- 170⁰

∠C= 190⁰

so angle ∠D = 190/2 = 95⁰ answer

Thus, the measure of each of the angles ∠C and∠D is 95⁰

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